PLEASE HELP!!! URGENT!
Let f(x)=x√ and g(x)=2x.
Use the composition of functions to determine if f(x) and g(x) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
Answers
Answer:
1st one is "square root of 2x"
2nd one is "2 square root of x"
3rd one is "is not"
Step-by-step explanation:
1st one: you have 2x for g(x) then you plug that into the x for f(x) giving you square root of 2x
2nd one: you have square root of x for f(x) then you plug that into the x for g(x) giving you 2 square root of x
3rd one: the inverse of the square root of x is x^2
The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x) and this can be determined by using the given data.
Given :
[tex]\rm f(x) = \sqrt{x}[/tex][tex]\rm g(x) = 2x[/tex]The following steps can be used in order to determine the f(g(x)) and g(f(x)):
Step 1 - First write the given functions.
[tex]\rm f(x) = \sqrt{x}[/tex]
[tex]\rm g(x) = 2x[/tex]
Step 2 - Now, the function f(g(x)) is given by replacing x with g(x) in the function f(x).
[tex]\rm f(g(x)) = \sqrt{g(x)}[/tex]
Step 3 - Substitute the value of g(x) in the above expression.
[tex]\rm f(g(x)) = \sqrt{2x}[/tex]
Step 4 - Now, the function g(f(x)) is given by replacing x with f(x) in the function g(x).
[tex]\rm g(f(x)) =2f(x)[/tex]
Step 5 - Substitute the value of f(x) in the above expression.
[tex]\rm g(f(x)) =2\sqrt{x}[/tex]
Step 6 - The inverse of f(x) can be determined by replacing x by f(x) and f(x) by x.
[tex]\rm \sqrt{f(x)} = x[/tex]
[tex]\rm x^2 = f(x)[/tex]
Step 7 - Now, the inverse of g(x) is given by:
[tex]\rm 2g(x) = x[/tex]
[tex]\rm g(x) = \dfrac{x}{2}[/tex]
The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x).
For more information, refer to the link given below:
https://brainly.com/question/12431044
Related Questions
The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Find the y−intercept for this relationship.
Answers
its just the number under 0 of ur table
Sin Qua Corporation is a company listed on the stock exchange and issues corporate bonds. Which statement is most likely true?
A.
Investors can buy the bonds directly from the government.
B.
Investors will have to pay tax on the interest income received from the bonds.
C.
The bond pays a quarterly dividend at a specified percentage of the investment.
D.
The bond’s price is linked to the company stock price.
E.
The bond’s maturity date is determined by the company’s creditworthiness.
Answers
Answer:
B. Investors will have to pay tax on the interest income received from the bonds.
Explanation:
Interest earned from corporate bonds and capital gained through corporate bond transactions is taxable income. The interest earned from a corporate bond is subject to taxation by both the federal and state governments.
The government will not sell sin Qua corporation bonds as it is a public company. Bonds do not pay interest quarterly but rather semi-annually or annually. Again, the maturity of the bond is determined at the time they are issued. Creditworthiness will only affect the bond price but not its maturity period.
Investors will have to pay tax on the interest income received from the bonds is thus the correct statement.
John has earned a 77, 76, and 84 on his first three projects of the semester. If he hopes to have an B quiz average (80 or above), what is the lowest score John can make on his fourth and final project?
Answers
Step-by-step explanation:
John has earned a 77, 76, and 84 on his first three projects of the semester.
He hopes to have an B quiz average (80 or above).
We need to find the lowest score John can make on his fourth and final project. Let the score is x.
Average = sum of numbers/total numbers
[tex]80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83[/tex]
So, he must score 83 or more on his fourth project so as to make average 80 re above.
Which letter has reflectional, rotational, and point symmetry?
O
P
Q
L
Answers
Please answer on how to do this thanks
Answers
Answer:
M<E = 62°
Step-by-step explanation:
Since (8x-34)° and (5x+2)° are alternate interior angles, it means they equal each other so...
(8x-34)°= (5x+2)°
if you drop the parenthesis, you get
8x-34= 5x+2
Then you just solve and simplify it
3x= 36 ----> x= 12
Now you know what x is, you would plug it in to either one and you get 62 as your answer meaning m<E is 62°
8(12)-34= 62 (since this angle and angle E are parallel, the angles are the same and that is why if you plug x into this equation, you can find out what the angle of E is)
5(12) +2= 62 ( and since this angle is across from angle E, it means the angles are the same... so that's why if you plugged in x which is 12 into this equation, you can also find E)
I don't know if this helped or not.. it's kind of confusing and hard to explain without being able to show you... sorry.
Jill has $7.85 in dimes and quarters. She has 12 more
quarters than dimes. Write a system of equations that
could represents the situation if D represents the
number of dimes and Q the number of quarters?
Answers
she has $7.85 in quarters and dimes
quarters = 25c
dimes = 10c
she has 12 more
so, we know she has AT LEAST 12 quarters
25 x 12 = 300 = $3.00
but we also know its not possible for her to have more dimes quarters
( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )
please I need help with this question asap.
the following rule describe the relationship between x and y.
Rule: To find y multiply x by 4 and then subtract 3.
complete the table for the given rule.
x. y.
1
2
3
select the graph that shows the relationship.
A or B
Answers
Answer:
The table is:
x y
1 1
2 5
3 9
The graph B shows the relationship y=4x-3
Step-by-step explanation:
We need to fill the table using the rule:
To find y multiply x by 4 and then subtract 3.
Writing rule in mathematical form:
y=4x-3
Now for completing the table we need to put x=1,2 and 3 and find values of y
[tex]For x=1//y=4x-3\\ y=4(1)-3\\ y=4-3\\ y=1\\[/tex]
[tex]For \ x=2\\y=4x-3\\ y=4(2)-3\\ y=8-3\\ y=5[/tex]
[tex]For \ x=3\\y=4x-3\\ y=4(3)-3\\ y=12-3\\ y=9[/tex]
So, the table is:
x y
1 1
2 5
3 9
The graph B shows the relationship y=4x-3
if you don't know the answer don't write but my page and if you know that answer doing that right any random stuff
Answers
Answer:
It would be 993 with a remainder of 6
Step-by-step explanation:
993 x 7 = 6951
6957 - 6951 = 6 remainder
Hoped this helps
Answer:
993 ; Remainder: 6
Step-by-step explanation:
Calculator
Pi times 2444.57 divided by 344.5=?
Answers
Answer:
I think 22.2814177
Step-by-step explanation:
I used 3.14 that's what my teachers tell me to use sorry if it's wrong
Answer: 22.2927232313
Step-by-step explanation: *Pi = 3.14159265359
*3.14159265359 x 2444.57 = 7,679.84315319
*7,679.84315319 ÷ 344.5 = 22.2927232313
Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)
Hi please do this answer and please show the (steps) on how you got it. ❤️
Answers
which is an empty set?
Answers
Answer:
A
Step-by-step explanation:
A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. What is the mean amount by which the team won or lost over the six games?
Answers
Answer:
2
Step-by-step explanation:
Express in slope form please
Answers
Which is the correct ?
Answers
Answer:
it is the 1st one
Step-by-step explanation:
because you have to add up all three sides because you need 180 then subtract that answer from 180 and you will get your answer
please answer as fast as possible see the image below
Answers
Answer:
145
Step-by-step explanation:
Find the perimeter of the base
5*4=20
Find the surface area of the base
5*5=25
T.S.A.=[tex]\frac{1}{2}[/tex](20)(6)+25 = 145
Answer:
85 ft²Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (5 x 5) + (1/2 x (5x4) x 6)
= 25 + 60
= 85 ft²
number 6 solve for x
Answers
Answer:
c
Step-by-step explanation:
PLEASE HELPP!
What is the slope of y = -4
Answers
Answer:
The slope is 0
Step-by-step explanation:
y = mx + b
y = 0x - 4
You can also graph it
Since the graph would be straight, the slope is 0
PLEASE SOMEONE GIVE ME ANSWERS
Answers
Answer:
i think its E
Step-by-step explanation:
Brainliest if you get it right :)
Q: Which graph represents a proportional relationship?
I need this by today!
Answers
Answer:
option C
Step-by-step explanation:
I hope now it's helped
What should be done to both sides of the equation in order to solve n\4 = -12.4?
Multiply by -12.4
Divide by -12.4
Multiply by 4
Divide by 4
Answers
Answer:
You multiply both sides by 4
Step-by-step explanation:
You have the equation [tex]\frac{n}{4}=-12.4[/tex] ? I assume, remember to use the ' / ' (forward slash) to indicate division.Next we multiply 4 on both sides [tex]4*\frac{n}{4}=4*-12.4[/tex] Which gives us [tex]\frac{4n}{4} = - 49.6[/tex] Rewrite the left side as [tex]\frac{4}{4}*n=-49.6[/tex] Now 4 divided by 4 is 1, and 1 times n is n, so [tex]n=-49.6[/tex]That's why we multiply by 4. Hope this helps
Answer:
multiply by 4
Step-by-step explanation:
Select from the drop-down menus to correctly complete each statement.
Answers
Answer:
posistive i think welp hope this helps :D
Step-by-step explanation:
The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 35 of her dogs, they ran, on the average, 18.7 m/s. Assuming a population standard deviation of 1.5 m/s and a .05 significance level.
Required:
Does this sample data provide evidence that the breeder's claim is correct?
Answers
Answer:
The calculated value Z = 1.183 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
A particular greyhound breeder claims that her dogs are faster than the average greyhound
Step-by-step explanation:
Step(i):-
Given the average speed of greyhound dogs is about 18.4 meters per second.
Size of the sample 'n' = 35
mean of the sample x⁻ = 18.7
Population standard deviation = 1.5m/s
level of significance (∝) = 0.05
Step(ii):-
Null hypothesis : H₀ : μ = 18.4
Alternative hypothesis H₁ : μ ≠ 18.4
Test statistic
[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }[/tex]
Z = 1.183
Conclusion:-
The calculated value Z = 1.183 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
A particular greyhound breeder claims that her dogs are faster than the average greyhound
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the probability that the next game Noah bowls, his score will be between 135 and 167, to the nearest thousandth?
Answers
Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,
[tex]z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25[/tex]
And
[tex]z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}[/tex]
We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would differ from the true mean by less than 36 dollars if a sample of 193 persons is randomly selected
Answers
Answer:
The probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=21604\\\sigma=727\\n=193[/tex]
As the sample size is large, i.e. n = 193 > 30 the central limit theorem can be used to approximate the sampling distribution of sample mean per capita income.
Compute the probability that the sample mean would differ from the true mean by less than 36 dollars as follows:
[tex]P(\bar X-\mu<36)=P(\frac{\bar X-\mu}{\sigma_{\bar x}}<\frac{36}{727/\sqrt{193}})\\\\=P(Z<0.69)\\\\=0.7549[/tex]
Thus, the probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.
please help me asap
Answers
Answer:
3. about 15
4. about 9
5. about 11
Step-by-step explanation:
Trust meh
4. Is about 9
5. Is about 11 :)
A coin is tossed 5 times find the probability that none are head
Answers
Answer:
20%
Step-by-step explanation:
trust me
I WILL GIVE BRAINLIEST TO WHOMEVER ANWRS
Answers
Answer:
8000
Step-by-step explanation:
Answer:
994
Step-by-step explanation:
We have the expression:
[tex](8+t)^3-6[/tex]
And we want to evaluate it when t=2.
Hence, we will substitute 2 for t and evaluate. Therefore:
[tex]=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994[/tex]
Therefore, our final answer is 994.
Helppppp work out the values
Answers
Answer:
Step-by-step explanation:
When x=-2; y = -16+12= -4. This means a=-4
When x=-1; y= -2+3 = 1. This means b= 1.
When x=2; y = 16 +12 = 28 . This means c= 28
When x=4; y= 128+48 = 176. This means d= 176
Solve for b.
-9b = 27
Answers
Answer:
b=-3
Step-by-step explanation:
-9b/-9=37/-9
b=-3
Answer:
3
Step-by-step explanation:
11/10=n/14 Please solve this will give brainliest for the correct answer
Answers
[tex]\text{ Hi there! =)}[/tex]
[tex]\large\boxed{n = 15.4}[/tex]
[tex]\frac{11}{10} =\frac{n}{14} \\\\\text{ Cross multiply to solve for n:}\\\\11 * 14 = 10 * n\\\\154 = 10n\\\\n = 15.4[/tex]