if f(x)=4x + 3 find f^-1(x)

Answers

Answer 1

Answer:

f^-1(x) = (x-3)/4

Step-by-step explanation:

The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:

First, we take the original function and swap the two variables:

y = 4x + 3

x = 4y + 3

Then we subtract 3 from both sides

x - 3 = 4y

Then to get y on its own, we divide both sides by 4.

y = (x-3)/4

Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.

So your new inverse equation is:

f^-1(x) = (x-3)/4

Answer 2

Answer:

y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.

Step-by-step explanation:

Here we're finding the 'inverse function' of the given f(x) = 4x + 3.  Follow these steps:

1.  Replace the label  f(x)  with y:  y = 4x + 3

2.  Interchange x and y:  x = 4y + 3

3.  Solve this new equation for y:  4y = x - 3, or y = (1/4)(x - 3


Related Questions

What is the first step in solving the equation 4b - 7 = 13.

Answers

Answer:

Add  7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]

Step-by-step explanation:

Hey! Please help me ASAP.

Answers

I think its the third one but im not completly sure

Answer:

-t-5>-1.5

Step-by-step explanation:

Just ask.

Hope this helps! :)

Help Me Please!
A repairman charges an inspection fee plus $20 per hour. A customer
with a coupon for 40% off the inspection fee pays $110 for a 4-hour repair.
How many hours are worked when a customer pays $90 without a coupon?

Answers

Answer:

$108.50 for the 30% off an 1 hour and 35 min without the coupon 155 x 0.3 = 46.5. 155-46.5=108.50

please help i will give brainliest

Answers

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

please help me!

ty :)

Answers

Answer:

x intercept= (-3,0)  y intercept= (0,3)

Step-by-step explanation:

for x intercepts, y should equal zero

for y intercepts, x should equal zero

x intercept: -x+0=3

-x=3

x=-3  (x,y)--> (-3,0)

y intercept: 0+y=3

y=3 (x,y)--> (0,3)

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, -x + y = 3or, y = 3(x, y) = (0, 3)Now, let y be 0.Then, -x + y = 3or, -x + 0 = 3or, x = -3(x, y) = (-3, 0)So, x-intercepts are 0 and -3 and y-intercepts are 3 and 0.

Answer:

Answer:x - intercept (0, -3)

3)y - intercept (3, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Gloria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?

Answers

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Gloria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

→[RevyBreeze]←

help please thanks. ​

Answers

Answer:

Answer below

Step-by-step explanation:

a. g(w)=$30+$15w

b. h(w)=$65+$20w

c. g(3)=125 represents that Darnell's account has $125 after 3 weeks

d. w=3.5

Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.​

Answers

Ages of swapna and suma are 33 and 7 years old respectively

Let the present age of Swapna be xLet the age of Suma be y

If Swapna is 26 years older than her daughter Suma, then;

x = y + 26 ............... 1

6 years later:

Age of Swapna  = x + 6

Age of Suna = y + 6

If Swapna will be thrice as old as Suma, then;

x + 6  = 3(y + 6) ................. 2

Substitute equation 1 into 2:

y + 26 + 6 = 3y + 18

y + 32 = 3y + 18

-2y = -14

y = 7

Since x = y + 26

x = 26 + 7

x = 33

Hence ages of swapna and suma are 33 and 7 years old respectively

Learn more on equation here: https://brainly.com/question/2972832

can someone help me with this ​

Answers

Answer:

Step-by-step explanation:

plz answer in (x,y). 15 POINTS!!!!!!!!

Answers

9x+3y=3/3
2x-3y=8/3

Add them
11x=11/3
X=11
X=3

Sub x in

solve each proportion. 9/16 = x/12

Answers

Answer:

x =27/4

x=6.75

x=6 3/4

Step-by-step explanation:

They are all the same answer just written in different forms. Didn't know what form u wanted so i wrote them all

Answer:

x = 6.75

Step-by-step explanation:

cross multiply 9/16 = x/12

16x = 108

divide by 16 to isolate x

x = 6.75

4x−1<11 answer my question

Answers

Answer:

Step-by-step explanation:

Solve for x
2x+5=33

Answers

Answer: x=14

hopes this helps

Answer: your anwser is 19

Step-by-step explanation:

Add 55 to both sides.

2x=33+5

2x=33+5

2 Simplify  33+533+5  to  3838.

2x=38

2x=38

3 Divide both sides by 22.

x=\frac{38}{2}

x=  

2

38

​ 4 Simplify  

2

38

​  to  1919.

x=19

x=19

please mark brainliest

Please help me on question 32!!!

Answers

Let angles of triangle are 2x, 3x, and 7x

We know that,

Sum of the angles=180 deg

2x+3x+7x=180

12x=180

x=180/12

x=15

Smallest angle = 2x

=2×15

=30 deg

So, measure of smallest angle is 30 degree.

which expression is equivalent to the expression (2x+4)(x-6) pls i need it

Answers

Answer:

[tex]B.~2x^2-8x-24[/tex]

Step-by-step explanation:

FOIL the terms and then add like terms.

[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]

What is the correct answer?

Answers

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]

[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]

[tex]\\ \sf\longmapsto tanW=2.4[/tex]

HELP, ILL GIVE BRAINLST



Imagine that you have been asked to do an infomercial for a new sous vide tool. You are instructed to not only explain how the tool works but what some of the benefits of this cooking method are. Write a brief script that you could use for this infomercial.

Answers

Answer:

Sous vide is the process of sealing some kind of protein in an airtight “vacuum” container and then submerging it in the water at a specific temperature. By sealing them up and dropping them in a large pot of water to cook, there is no fire, no heated metal, no steam, and no smoke. And oddly enough, the water never even comes to a full boil—it just rests at the exact temperature the protein needs to reach for “doneness.” It takes a little longer than some other methods, and it guarantees to never overcook the protein, which can be particularly wonderful if you like your steak with just that perfect amount of pinkness. Sous vide machines used to be specialized equipment for fancy restaurants, but not anymore. These days, a lot of home cooks use small, affordable pots with the exact same cooking power. If you’re having friends over for dinner, sous vide makes pre-party prep a whole lot easier, plus sealed proteins can be kept in the fridge for at least one week. It also guarantees you will never overcook that $30 filet mignon again or stand over a hot stove when you’d rather be doing something else. And because the slowness of sous vide method allows fibers within the protein to contract more slowly, the meat stays juicier.

Step-by-step explanation: Hope this helps

4. Diagram A represents the area enclosed by a shopping mall.
Diagram A
B
6 inches
What is the length of side AC of the actual mall, in feet?
A
С
8 inches
Answer:
feet
Scale: 1 inch = 300 feet

Answers

Answer:

The answer is 2,400:)

Step-by-step explanation:

8×300 is 2400

K
The solution is k
K/6+5=17
The solution is k=

Answers

k=72

Explanation:

72/6=12

12+5=17

Answer:

  k = 72

Step-by-step explanation:

This is a 2-step linear equation. It is solved in the usual way.

Step 1: add the opposite of the constant that is on the side with the variable

  k/6 +5 -5 = 17 -5

  k/6 = 12

Step 2: multiply by the reciprocal of the coefficient of the variable.

  (k/6)(6) = (12)(6)

  k = 72

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?

Original Equation
3x - 1 = 3

First Step 3x = 4​

Answers

Answer:

no property

Step-by-step explanation:

Name the property used: no property

Name an example of a real life use of the sine graph.

Answers

Answer:

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

im sorry if its wrong I just search this :)


please help me i’m being timed!!!

Answers

Answer:

B

Step-by-step explanation:

The heaviest pig on the farm weighs 100 pounds

Which expression is equivalent to 3(2x + 2) +4x + 3?

Answers

Answer:

10x + 9

Step-by-step explanation:

3(2x + 2) +4x + 3

=> 6x + 6 + 4x + 3

=> 10x + 9

Therefore, 10x + 9 is the solved equation.

Hoped this helped.

[tex]GeniusUser[/tex]

3(2x + 2) + 4x + 3

6x + 6 + 4x + 3

10x + 6 + 3

10x + 9

Answer is that 10x + 9 is equal to 3(2x+2) + 4x + 3

Please help
Is (6, 3) a solution to this system of inequalities?

x + 3y ≥ 15
10x + 3y > 3

Answers

Answer:

Graph both inequalities and see if the point lies in the overlapping shaded region.

Step-by-step explanation:

2.
If you were to flip a coin 20 times, what is the probability
you would get at most 13 heads?
a) .9423
b) .1316
c) .0577
d) .0739

Answers

Answer:

A) .9423

Step-by-step explanation:

The chance of getting at most 13 heads is 0.9423

Which number is divisible by both three and nine?



Select the Hint button to view a hint.

A B C D

Answers

Answer:

27

Step-by-step explanation:

3 * 9 = 27

Hope this helps!

Answer:

The bold word help you

Step-by-step explanation:

Consider the numbers 2, 23, 234, 2345, 23456, 234567.

Every number divisible by 9 is divisible by 3. For example, 7425 is divisible by 9, hence it is divisible by 3. However, a number divisible by 3 is not necessarily divisible by 9. For example 6, 12, 15, 21, 24, 30 are all divisible by 3 but none of them is divisible by 9.

6 is divisible by 3 but not by 9 because 6 is greater than 3 but smaller than 9

There are 20 questions on a test. Three points are awarded for a correct answer and – 1 for an incorrect answer. If Brian answered 14 questions correctly and 6 incorrectly, what is his score?

Answers

Answer:

36 points

Step-by-step explanation:

3x14 = 42

1x6 = 6

42-6 = 36

Hope that helps

Answer:

54 hope this helps

Please help me asap

tyyyyyyy :D

Answers

Answer:

7x + 2y = -6

Step-by-step explanation:

Multiply the equation with 2

2 ( y = -7x/2 - 3 )

2y = -7x - 6

7x + 2y = -6

Please answer this, The question is below............................................................................. .........

Answers

Answer:

Area of a parallelogram = Base times Height

Step-by-step explanation:

For this parallelogram, the value for Height is 5cm. So Area = Base x 5. If you are given the value for base then just multiply that by 5 and you get the area. Hope this helps :)

When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4

a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?

Answers

Answer:

its b

Step-by-step explanation:

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