f(x) = x – 3
g(x) = x^2 + 1
Find:
f(g(x)) =

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

Answer 1

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf{f(x) = x - 3}[/tex]

[tex] \sf f(g(x)) = g(x) - 3[/tex]

[tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex]

[tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]

you can further simplify to get ~

[tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]


Related Questions

Which of the following expressions has a "x" term with a coefficient of 1?

Answers

The answer is the second one, that expression has an "x" term with a coefficient of +1 (not any other terms such as x^2, they want an x term with an exponent of 1, as x is also known as x^1).

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.

Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.

Hence, the correct option is B.

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Which is the equation of a circle with a radius of 6 and a center of (3,-1)?
(x - 3)2 + (y+1)2 = 36
(x+3)2 + (y - 1)2 = 36
(x+3)2 + (y - 1)2 = 6
(x-3)2 + (y+ 1)2 = 6

Answers

Answer:

358

Step-by-step explanation:

576

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<= x <= 0?


The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.

Answers

Answer:

×e[-2,0}

Why;-2<x<0

Write the compound inequality in interval rotation

so the answer is;×e[-2,0}

brainliest me thanks for later

Answer:

D) The exponential function decays at three-fourths the rate of the quadratic function.

Step-by-step explanation:

MAX POINTS!!!! Please help me solve the problem in the picture and tell me what I’m doing also explain each step.

Answers

Answer 0.4
Regroup terms: 0.8 - j= -0.9j + 0.76
Add j to both sides: 0.8 = -0.9j + 0.76+j
Simply : 0.8=0.1×j+0.76
Subtract: 0.76 from both sides 0.8-0.76=0.1x j
Simplify 0.8−0.76 to 0.04: 0.04= 0.1×j
Divide both sides by 0.1: 0.04/0.1=j
Simply 0.04/0.1 to 0.4: 0.4 =j
Switch sides: j= 0.4

I know myself that the answer is 0.4

Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number? ​

Answers

By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.

So we have a 5-digit number, let's say that it is:

abcde

Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).

We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).

Let's assume that the first digit at which we assign its value is this, e, the last one.

For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}

4 of these options are even numbers.

So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:

P = 4/9

Now the other four digits can be anything (even or odd), so we only care for the probability above.

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Jamal has a plan to save money for a trip. Today, Jamal deposits $8.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account. Week 0 1 2 3 4 Deposit (Dollars) 8 13 18 23 28 Let f(x) represent the amount of money Jamal deposits into saving account at the end of x weeks. Based on the table, what is f(8)?

Answers

Answer:

f(8) = $48

EQUATION

f(x)= 8+5(x)

Step-by-step explanation:

initial value = $8

every week there is an additional $5 added.

f(x) = 8+5x

f(8) = 8+ 5(8) = 8 + 40 = 48.

At the end of week 8 (x=8) , Jamal has $48 (y=48) saved.

1 4 × √ 2 = 2 n Find N

Answers

7√2 = n

Divide by 2 on both sides.

Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
how much juice and pizza Jake can buy?

Answers

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

brainless for the person who gets this right!
which expression its equivalent

Answers

D

If we expand the parentheses, and multiply everything inside with everything outside, we get

4•6x + 4•11
Which is equal to 24x + 11

I will give crown thing
On a map of Northern Virginia, 1 inch = 4 miles. The distance from Springfield to Dulles International Airport is 5.8 inches on the map. What is the actual distance to the airport?

Answers

Answer:

23.2 miles

Step-by-step explanation:

You just need to multiply de number of inches by the number of miles that values 1 in. Therefore

4 multiplied by 5.8 = 23.2

Answer:

The actual distance to the airport is 23.2 miles.

Step-by-step explanation:

1 inch = 4 miles

5.8 · 4 = 23.2

Since the distance to the Airport is 5.8 inches, you will multiply it by 4. You do this because 1 inch = 4 miles.

In which number does the 5 have involve that is ten times the value of the number 5000?

A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429

Answers

The answer is any number that has to do with the 5 in the ten thousands places

In the number 556,429, 5 have involve that is ten times the value of the number 5000.

The given numbers are 23,523, 7,508,240, 45,701 and 556,429.

What is the place value?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Option A:

In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.

In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.

In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.

In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.

Here, ten times the value of the number 5000 is 50000.

Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.

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5. Marcus has a 28-ounce bottle of Gatorade. He
drinks 21 ounces. Enter the percentage of the
bottle Marcus has left.

Answers

Hi!

He has 25% of the bottle left.

Knowing he drank 21 oz. out of a 28 ox. bottle, he has 7 oz. left.

We want to know the answer to: 7 is what percent of 28?

To do this, we simply take 7 and divide it by 28. 7/28 is 1/4, which can be represented by 0.25

0.25 as a percent is 25%.


Adam bought a fish aquarium worth $3,000 in the first week of the year. Its value depreciates by 3% per week. What will the value of the fish aquarium be after 5 weeks?

Answers

=0.75 times 3000=2250

*WILL GIVE BRAINLIEST FOR BEST ANSWER*

Jasper won the raffle at the zoo and gets to feed the dolphins! The dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins. Each dolphin gets 3 fish.
Which equation can you use to find the number of fish f in the bucket before Jasper feeds the dolphins?
Solve this equation for f to find the number of fish in the bucket before Jasper feeds the dolphins.
fish

Answers

The number of fish in the bucket before Jasper feeds the dolphins was 12.

Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:

Number of dolphins = D Fish for each dolphin = E Total fish = F D x E = F 4 x 3 = F 12 = F

Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.

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Little help please...?

Answers

Answer: The answer is B

Step-by-step explanation:

It's B because every pound is $14 and for C it looks similar, until you add another pound and then option B becomes $28 per 2 pounds and option C becomes $25 per 2 pounds. Therefore, the answer is B

A student concludes that the solution to the equation ( 2×+1+3=0 is×=4

Answers

Answer:

x = -2

Step-by-step explanation:

2x + 1 + 3 = 0

2x + 4 = 0

x = -2

what is the slope of
12(x−6)=4(y+3)

Answers

Step-by-step explanation:

the slope is always the factor a of x in the form

y = ax + b

so let's transform the original equation into this form :

12(x - 6) = 4(y + 3)

12x - 72 = 4y + 12

12x - 84 = 4y

3x - 21 = y or y = 3x - 21

therefore, the slope is 3.

Two companies working together can clear a parcel of land in 20 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)

Answers

it's took 10 hour maybe what subject is this

Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28

Answers

Answer:

64 tea bags for 9.28

Step-by-step explanation:

A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?

Answers

Answer:

y=2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2(x-6)

y=2x-12+4

y=2x-8

need help with this problem

Answers

Check the picture below.

What I 0.00005164 written as a single digit times a power of ten

Answers

Answer:

5.164×10^-5

Step-by-step explanation:

[tex]5.164 \times {10}^{ - 5} [/tex]

Please look for the question in the picture.

Answers

Answer:

C and B

Step-by-step explanation:

20%=1/5 so D+1/5D

1.2 = 120%

HELP ASAP Match each division expression to its quotient.

Answers

Answer:

2=-12.2/(-6.1

-2=16/(-8)

-3= -2 2/5/4/5

3= 3 3/7 / 1 1/7

Step-by-step explanation:

What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3

Answers

I think this is the answer ( −∞,∞)

-5x + 7y = -3
-3x - y = 19

Answers

The answer is letter c

Answer:

x=-5, y=-4

Step-by-step explanation:

to solve this system of equations, first multiply the second equation by 7 to get -21x-7y=133. this allows for the y terms in both equations to cancel once you add the two equations together.

adding these together, the y term cancels and you are left with -26x=130. so dividing both sides by -26 will get x=-5. then plug this x value back into either original equation (i chose -3x-y=19) so solve for y.

-3(-5)-y=19 so -y=4 so y=4

so the answer to the system of equations is x=-5 and y=-4

Solve for x&y using substitution but do it step by step

Answers

Answer:

x +2y = 2 ...... 1

7x + 10y = 2 ..... 2

x = 2 - 2y ..... 3

substitute 3 in 2

7(2 - 2y) + 10y = 2

14 - 14y + 10y = 2

14 - 4y = 2

- 4y = 2 - 14

- 4y = - 12

divide by - 4 on both sides

y = 3

substitute the value of y in 3

× = 2 - 2(3)

x = - 4

(x ; y )

(- 4 ; 3)

Round 67 to the nearest hundred. Enter your answer in the box below.

Answers

there is no hundred in 67 so that’s means 67 rounded to the nearest hundred is 100

. Andrew's father is paying for a $40 meal. He has a 15%-off coupon for the meal. After the
discount, a 6% sales tax is applied. What does Andrew's father pay for the meal?

Answers

Answer:  36.04 dollars

=============================================================

Explanation:

He gets a 15% discount, so he pays the remaining 85%. The two percentages add to 100%.

85% in decimal form is 0.85

The 6% sales tax means we also have the multiplier 1.06 to indicate a 6% increase.

The two factors 0.85 and 1.06 multiply to 0.85*1.06 = 0.901

This tells us that Andrew's father pays 90.1% of the original bill

0.901*40 = 36.04 dollars

--------------

An alternative method:

15% of $40 = 0.15*40 = 6

Andrew's father saves $6

The bill of $40 drops to 40-6 = 34 dollars before tax.

6% of $34 = 0.06*34 = 2.04

The father pays $2.04 in tax to get a total bill of 34+2.04 = 36.04 dollars

charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later what fraction of the original cake did he wrap

Answers

Answer:

He wrapped 3/4 of the cake.

Step-by-step explanation:

1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4

- Hope this helps!

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