Answers
Given:
The function is [tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex].
To find:
The function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex]
Substitute f(x)=y.
[tex]y=3(x+7)^{\frac{1}{4}}[/tex]
Interchange x and y.
[tex]x=3(y+7)^{\frac{1}{4}}[/tex]
Divide both sides by 3.
[tex]\dfrac{x}{3}=(y+7)^{\frac{1}{4}}[/tex]
Taking power 4 on both sides.
[tex]\left(\dfrac{x}{3}\right)^4=y+7[/tex]
Subtract 7 from both sides.
[tex]\left(\dfrac{x}{3}\right)^4-7=y[/tex]
[tex]y=\left(\dfrac{x}{3}\right)^4-7[/tex]
Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7[/tex]
Therefore, the correct option is C.
Related Questions
Tamika finds a new pair of boots that she wants to buy. They originally cost $99, but
they are now on sale for 25% off. What is the discounted price?
Answers
Answer:
$74.25
Step-by-step explanation:
$99.00x75%
Please help it’s the last question I have left until I can turn this in please answer ASAP if possible
Answers
Answer:
i cant see
Step-by-step explanation:
When I divide both sides of an inequality by a negative number, I notice...
Answers
I will give brainliest to best answer
Please find the value of b for 1, 2, and 3.
The area of a rectangle is 14 square units. It has side lengths a and b. Given the following values for a, find b.
1. a = 2 1/3 (two and one third)
2. a = 4 1/5 (four and one fifth)
3. a = 7/6 (seven sixths)
Answers
Answer:
1. B= 6
2. B= 3.333333333
3. B= 12
Step-by-step explanation:
1. 14/ 2 1/3 (two and one third)=6
2. 14/ 4 1/5(four and one fifth)= 3.333333333
3. 14/ 7/6 (seven sixth)= 12
Which of the following is a Pythagorean triple?
A. (3,4,6)
B. (5,8,10)
C. (5, 12, 13)
D. (1,1,2)
Answers
Answer:
C. 5,12,13
Step-by-step explanation:
5^2 + 12^2 = 13^2
25 + 144 = 169 this is a true equation therefore a triple
Which expression is equivalent to x-6?
Answers
Answer:
2/1x-12/6
Step-by-step explanation:
Answer:
[tex]x^{-3} * x^{-3}[/tex]
what is the period of the sinusoidal function
Answers
Answer:
10Step-by-step explanation:
Period is the distance between two consecutive maximum points, or two consecutive minimum points.On the given graph the period is the distance between maximum points -7 and 3:
3 - (-7) = 10Answer:
The period of the sinusoidal function is 2π, i.e., the value of the function repeats at every 2π units.
From the origin towards right we can see that the distance traveled between 0 to 2π is 10 units
Therefore, 10 units is the right answer.
At the gym, Tika spends twice as much time doing aerobics than weight training. She stretches for one fifth of the time she spends on weight training. Let w be the amount of time Tika spends on weight training. Which expression represents her total workout?
Answers
Answer:
Her total workout is [tex]2w+w+\frac{w}{5}[/tex].
Step-by-step explanation:
Consider the provided information.
Let w be the amount of time Tika spends on weight training.
Tika spends twice as much time doing aerobics than weight training.
It means she spends [tex]2w[/tex] time doing aerobics.
She stretches for one-fifth of the time she spends on weight training.
It means she spends [tex]\frac{w}{5}[/tex] time for stretches.
The total workout time is:
[tex]2w+w+\frac{w}{5}[/tex]
Hence, her total workout is [tex]2w+w+\frac{w}{5}[/tex].
frans fro yo charges 0.35 per ounce of yogurt beth gets a 12.6 ounce cup and tiffany gets a a 11.8 ounce cup of yogurt what is the total cost
Answers
Answer:
8.54 is the total cost. mark me brainliest
Step-by-step explanation:
0.35*12.6=4.41
0.35*11.8=4.13
4.41+4.13=8.54
Meagan needs to find out how tall a tree is in her yard. She doesn't know how tall she is, but she knows her shadow is 10' 7 1/2. She also knows that she is 5" shorter than Mark, and his shadow is 11' 8". If the tree's shadow is 110', how tall is the tree? Show the equation.
Answers
Answer:
Wow I do not understand a bit of that
Step-by-step explanation:
Solve: 35 dollars per day to dollars per week.
Answers
Answer:
35*7=$245
Step-by-step explanation:
Mr Willkinson invests £3000 at a compound interest of 2.2% per anum
he wants his investment to earn more than £800 interest
work out in the least time in years it will take
THANKS 30POINTS :)
Answers
Answer:
13 years which = to 858 in intrest
Step-by-step explanation:
Answer:
= 13 years
Step-by-step explanation:
Good luck guys!! Hope you get your answer correct!!
**THIS SHOULD GET YOU A FEW MARKS ANYWAYS (IF NOT FULL)
what is 6/5 of 3792????????? PLEASE HELP ME
Answers
Answer:
4550.4 ?
Step-by-step explanation:
I'm not sure tho dddd
Choose the correct symbol from the drop-down list to compare the rational number
-1.5 -1.76
=
<
>
Answers
Answer:
>
Step-by-step explanation:
If we plot -1.5 and -1.76, we would see thant -1.5 is to the right of -1.76
Right means larger here, so -1.5 is larger
Answer:
Step-by-step explanation:
it would have to be 0 1 2
what is 10000000€=...................$
Answers
Answer:
1,214,610.00
Step-by-step explanation:
hope ot os riight
Answer:
$ 11,582,850.00
What information must you know about a triangle in order to use the Converse of the Pythagorean Theorem to prove that it is not a right triangle?
Group of answer choices
You need to know the lengths of all three of the sides.
You need to know the degrees of each angle.
The longest side must be a multiple of 3.
Two sides of the triangle must be equal.
Answers
Answer:
You need to know the degrees of each angle.
Step-by-step explanation:
my teacher is my auntie and gives me answers for everything
Pleaseeeee answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
A and B
Step-by-step explanation:
Linear or nonlinear
Will mark brainliest hurry
Answers
Answer:
I can’t see the picture but I can help
Step-by-step explanation:
If the line is straight then its linear if not then nonlinear
How did math change your life?
Answers
just number 15 please
Answers
please helelspnssbsb
Answers
Answer:
I haven't learn this yet but maybe try asking desmos that app helps me a lot!
Find the slope represented in the table below
Answers
1. w.w.w=
2. 2.2.y.y.y.y=
3. 45% of 325=??
4. -4+(-6)+(-10)+16=
Yeah, I know its alot u could say but I pretty much forgot how to solve theses problems specifically...
Answers
Answer:
w³ ; 4y⁴ ; 146.25 ; - 4
Step-by-step explanation:
Solve the following :
1. w.w.w ;
w * w = w² * w = w^3
2. 2.2.y.y.y.y ;
4 * y^4 = 4y^4
3. 45% of 325=??
0.45 * 325 = 146.25
4. -4+(-6)+(-10)+16=
Opeing the bracket :
-4 - 6 - 10 + 16
-20 + 16
= - 4
help please, i know it may seem easy but I'm in a speed class sorry
Answers
Answer:
for every 5 roses there's 1 plant(s)
Step-by-step explanation:
A. y=-2x+2
B. y=-1/2x+2
C. y=-2x+2
D. y=1/2x-2
Answers
The correct answer is y=1/2+2
What is the distance between (-7, -2) and (13,-23)
Answers
Step-by-step explanation:
here,
x1=-7
x2=13
y1=-2
y2=-23
so
[tex]\boxed{\blue{ distance=\sqrt{(y2-y1)^2+(x2-x2)^2} }}[/tex] ⠀
=[tex]\tt{\sqrt{(-23-(-2))^2+(13-(-7))^2}}[/tex] ⠀
=[tex]\tt{\sqrt{(-21)^2+(20)^2} }[/tex] ⠀
=[tex]\tt{\sqrt{ 441+400} }[/tex] ⠀
=[tex]\tt{\sqrt{841} }[/tex] ⠀
=[tex]\tt{ 29 }[/tex] ⠀
So,
the distance between (-7, -2) and (13,-23)=29
which of the following types of businesses are likely to use units of time as their units of sale (select four answers)
1.yard care
2.shoe store
3.house
4.baking/painting
5.art gallery
6.massage
7.florist
8.dog walking
Answers
Answer:
house
Step-by-step explanation:
I think,look I am just a little kid I am a 10 year old kid in 5 th grade I am at school I am trying to cheat so sorry if it’s wrong
Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?
20 minus 0.75 c = 9
20 minus 0.75 = 9 c
0.75 (9) + c = 20
0.75 c + 9 = 20
Answers
Answer:
c
Step-by-step explanation:
Answer: immy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?
20 minus 0.75 c = 9
20 minus 0.75 = 9 c
0.75 (9) + c = 20
0.75 c + 9 = 20
C / 0.75 (9) + c = 20
Step-by-step explanation:
To find your change, first you must determine how much the customer is paying. To find this, you must multiply the cost of one book by the number of books bought.
100 points and brainliest
A pizza shop wants to determine how often it delivers to three different areas of a city. The table shows the areas from a random sample of 8080 deliveries.
Based on these data, if the driver makes 200200 deliveries, how many deliveries will be to the southern area of the city?
Answers
Answer:
4400
Step-by-step explanation:
What is the simplified value of the expression below
Answers
Answer:
Step-by-step explanation:
Combine like terms and then solve for X
24-12-2x3.2
12 -0.4x^3