let h(x) be the inverse of f(x).If h(x)=-4+1 find f(x)

Answers

Answer 1

Assuming you meant to type h(x)=-4x+1

Answer:

[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]

Step-by-step explanation:

We know that, because [tex]h(x)[/tex] is the inverse of [tex]f(x)[/tex], that [tex]h(f(x))=x[/tex], so [tex]-4f(x)+1=x[/tex].

Aha! We can solve for [tex]f(x)[/tex]!

We subtract [tex]1[/tex] from both sides to get [tex]-4f(x)=x-1[/tex].

Finally, we divide both sides by [tex]-4[/tex] to get [tex]\boxed{f(x)=-\frac{1}{4}x+\frac{1}{4}}[/tex].


Related Questions

Simplify 3 square root 900

Answers

Answer:

30

Step-by-step explanation:

The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square.

Answer:

The square root of 900 is 30. It is the positive solution of the equation x2 = 900. The number 900 is a perfect square

only answer 9 or 11 or both please I want to sleep :(

Answers

Answer:

9 11

But are you okay? It spells 9-1-1.

Problem D: PRAMHW Jade's softball team went to the batting cages for practice. Jade hit 28 out of 30 pitches. If she goes back after practice for 100 more pitches, how many would you expect her to hit? Round your answer to the nearest hit​

Answers

Answer:

93

Step-by-step explanation:

Direct proportion.

If 28 out of 30, how many out of 100?

(30*100)/28= 93.3333

HELP

15.4 = -2.1 + a/0.2

Answers

Answer:

a = 3.5

Step-by-step explanation:

15.4 = -2.1 + a/0.2

Combine like terms:

15.4 = 2.1 + 5a

Swap sides:

-2.1 + 5a = 15.4

find the value of s

Answers

Where is the letter s

Determine the product of the binomial -5x-7 and the trinomial
3x2-4x-5. To earn full credit, show your work using a method explained in
the Orientation

Answers

Answer:

[tex]( - 5x - 7)(3 {x}^{2} - 4x - 5) \\ \\ - 15 {x}^{3} + 20 {x}^{2} + 25x - 21 {x}^{2} + 28x + 35 \\ \\ - 15 {x}^{3} + 20 {x}^{2} - 21 {x}^{2} + 25x + 28x + 35 \\ \\ = - 15 {x}^{3} - {x}^{2} + 53x + 35[/tex]

I hope I helped you^_^

The circle graph shows the results of a survey. Of those surveyed, 200 said yes. About how many people were surveyed?

Answers

Answer:

250 people

Step-by-step explanation:

let's first look for the missing 20%,

one way you can solve this is by cross multiplication:

since 80% is 200 then 80% = 200

and we know 20% is x then 20% = x (we use x because we don't know the amount of people)

so then we set it up:

[tex]\frac{x}{20}[/tex] × [tex]\frac{200}{80}[/tex]

now we cross multiply:

80x = 4000

= x = 50

now we need to find how many people were surveyed so we do:

200 + 50 = 250

250 people were surveyed

Larry Gold’s gross pay for this week as a stock clerk for Hensley’s is $375.15. He is single and claims 2 allowances. Using the percentage method of withholding, what is his withholding for federal income tax?

Answers

Larry gold is withholding $22.38 in federal tax income.

The federal government and the majority of states in the US impose income taxes.

Applying a tax rate to taxable income, which is the entire income less permissible deductions, yields the income taxes, which may rise as income rises. Income is a broad concept. Estates and trusts may be subject to taxation on income that has not been dispersed, in addition to individuals, corporations, and the government. (With a few exceptions for Federal income taxation) Partnerships are not subject to taxation; however, the partners of a partnership are. While nonresidents are solely subject to local taxes, residents and citizens are subject to worldwide taxes. Numerous credit kinds lower taxes, and some credit types may even be more than taxes before credits. There is an alternative tax.

Given that Larry gross pay for this week is $375.15

Now we know from the income tax table that the withheld tax is calculated by calculating 6% of the gross pay when there are 2 allowances.

Tax  = 6% of 375.15 = 22.38

Hence the withholding for federal income tax is $22.38 .

To learn more about  federal income tax visit:

https://brainly.com/question/17092810

#SPJ1

PROBLEM SOLVING A water sample must be taken from water at least 20 feet deep. Find the depth of the water 50 feet

from shore.

50 ft

5 ft

21.5t

d

Not drawn to scale

The depth is

feet.

Is this an appropriate location for a water sample?

Answers

Using the principle of similar triangles, the appropriate depth to take the water sample should be 15 feets

Setting up the equation thus :

1.5 / d = 5 / 50

Cross multiply

1.5 × 50 = d × 5

75 = 5d

Divide both sides by 5

5d / 5 = 75/5

d = 15

Therefore, the appropriate depth to take the water sample is 15 feets.

Learn more : https://brainly.com/question/18112348

120 degrees and 5x+1
solve for x

Answers

Answer:

x=9

Step-by-step explanation:

180 =120+5x+15

60=5x+15

45=5x

9=x

In laissez-faire economics, what is the role of the government in the economy?

Answers

Answer:

In a laissez-faire economy, the only role of the government is to prevent any coercion against individuals.

Step-by-step explanation:

HOPE IT HELP

Will give brainliest to best answer
Simplify please
-7(3e + 4) + 6e - 2

Answers

Answer:

-30 - 15e

Step-by-step explanation:

given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis

-21e - 28 + 6e - 2, then we add like numbers

-15e - 30

Answer:

-15e - 30

Step-by-step explanation:

-7(3e + 4) + 6e - 2

Simplify:

-21e + (-28) + 6e - 2       (distribute -7 to 3e + 4)

-21e + 6e - 28 - 2          (combine like terms)

-15e - 30                        (combine like terms)

-Chetan K

8. A cyclist can travel 18.6 miles in 3 hours. At this rate, how far can the same cyclist travel in 30 minutes?
a.6.2 miles
b.3.1 miles
c. 12.4 miles.
d. 16.2 miles

Answers

Answer:

b: 3.1

Step-by-step explanation:

because i had to do 18.6 divided by 6 because thats how many 30 minutes are in 3 hours then that was 3.1 so in 30 minutes he could ride 3.1 miles

The school that Jenny goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 adult tickets and 14 child tickets for a total of $322. The school took in $188 on the second day by selling 12 adult tickets and 1 child ticket. What is the price of each of one adult ticket and one child ticket?A. Adult Tickets: $17, Child Ticket: $12B. Adult Tickets: $15, Child Ticket: $8C. Adult Tickets: $9, Child Ticket: $3D. Adult Tickets: $24, Child Ticket: $13

Answers

The price of one adult ticket is $15 and the price of one child ticket is $8.

Two sets of equations can be derived from this question:

14a + 14c = 322 equation 1

12a + c = 188 equation 2

These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.

In order to determine the cost of the adult's ticket multiply equation 2 by 14

168a + 14c = 2632 equation 3

Subtract equation 1 from 3

2310 = 154a

Divide both sides by 154

a = $15

To determine the cost of the children's ticket substitute for a in equation 1

14(15) + 14c = 322

210 + 14c = 322

322 - 210 = 14c

112 = 14c

c = $8

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

guys pls help me!!!!!!

Answers

Answer:

17 degrees

Step-by-step explanation:

x would be roughly 15

so sorry if incorrect

Can you help me please. ​

Answers

Answer:

can you take a better photo?

Step-by-step explanation:

Full view of the picture please

help me please i need it

Answers

Answer:C

Step-by-step explanation:

What is the answer to this problem and how do u solve it. -8 - 9 =

Answers

Answer:

not possible

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

(I originally posted this as a comment because Brainly was not allowing me to answer).

-8 is a negative number, which means many operations don't work the same on it. Subtracting a positive number from a negative number will give you the same result as adding the two positive numbers (in this case, 8 + 9), though the answer will also be negative. Hope this helps!

After their first two plays, a football team's position is –7 yards with respect to the original line of scrimmage. How many yards does the team need to gain on its next play to get back to the original line of scrimmage?

Answers

Answer:

I think its 17 yards if I read that correctly

Answer:

Step-by-step explanation:Its location is based on the spot where the ball is placed after the end of the most recent play and following the assessment of any penalty yards.

Find a second-degree polynomial P such that P(2)
9, P'(2) = 11, and p'(2) = 8.

Answers

Answer:

firfire is ur answer write this

Gain is calculated on the selling price. t or false​

Answers

Answer:

true its true ..

Step-by-step explanation:

we can know our profit or loss by our selling price

mark me brainiest if helped!

Step-by-step instructions: Profit or loss is always calculated on the basis of the cost price. The discount is calculated on the marked price or the list price.

An exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is currently 100 feet below sea level. How deep was the diver 15 minutes ago?

Answers

the answer is ur mom

3. Find the sum of TU and OL.

Answers

Answer:

18

Step-by-step explanation:

by similarity of triangles TYU and OYL we have

[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]

then

TU=6, OL=12

Can anyone help me with this

Answers

Answer:

the answer is option D......

- 150 and -50 which one is bigger in inequality?
please help! I will give you brainliest.​

Answers

Answer:

-150

Cause right now it's negative I think

Yes

Someone help pls I forgot how to do it

Answers

(2,4)

Step-by-step explanation:

I'm not sure in the slightest but with the formula I learned I think this is correct

True or False: If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees.

Answers

We want to see if the given statement is true or false.

We will prove that the statement is false.

The statement is:

" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."

We can use the rule:

Sin(θ) = (opposite cathetus)/(hypotenuse).

Let's define:

hypotenuse = H

opposite cathetus = H/2

Let's see if the given angle is equal to 60°, we will have:

Sin(θ) = (H/2)/H = 1/2

θ = Asin(1/2) = 30°

So we can see that the statement is false.

If you want to learn more, you can read:

https://brainly.com/question/6322314

Please I’ll mark brainiest and I’ll give extra points !!

Answers

Answer:

B

Step-by-step explanation:

2.75 x 0.10x

x in this case is 0

so 2.75 x 0.10x0

= 2.75

if 1 ounce is approximately epual o 28.35g 5 ounces about how many grams

Answers

Answer:

141.75g

Step-by-step explanation:

28.35 x 5 = 141.75

I am pretty sure this is the right answer!

help.....please please ​

Answers

Answer:

An equilateral triangle is shown in the image. An equilateral triangle has 3 angles of 60 degrees in order to equal 180 degrees which is the definition of a triangle.

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