1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
3 years ago
13

Given the function f(x) = The quantity of 4x minus 2, divided by 3, which of the below expressions is correct

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0

Answer:

f^{-1}(x)=\text{The quantity of 3x plus 2, divided by 4}

Step-by-step explanation:

Given,

f(x) = The quantity of 4x minus 2, divided by 3,

\implies f(x) = \frac{4x-2}{3} -----(1)

Since, f^{-1}(x) represents the inverse of f(x),

Also, for finding the inverse of a function f(x) we follow the following steps,

Step 1 : Replace f(x) by y,

Step 2 : Interchange x and y,

Step 3 : Isolate y in the left side of the equation,

Step 4 : Replace y by f^{-1}(x)

Now, from equation (1),

y=\frac{4x-2}{3}

By interchanging x and y,

x=\frac{4y-2}{3}

3x = 4y - 2

-4y = -2 - 3x \implies y = \frac{3x+2}{4}

By replacing y by f^{-1}(x)

f^{-1}(x)=\frac{3x+2}{4}

\implies f^{-1}(x)=\text{The quantity of 3x plus 2, divided by 4}

Drupady [299]3 years ago
5 0

Answer:

f^-1(x) = The quantity of 3x plus 2, divided by 4.

Step-by-step explanation:

Given: f(x) = (4x -2)/3

Which is y = (4x - 2)/3

We have to find the inverse function f^-1 (x)

Replace x by y and y by x, we get

x = (4y - 2)/3

Now find the function y interms of x.

3x = 4y - 2

4y = 3x + 2

y = (3x + 2)/4

f^-1(x) = The quantity of 3x + 2, divided by 4.

Answer is D) f^-1(x) = The quantity of 3x plus 2, divided by 4.

Hope this will helpful.

Thank you.

You might be interested in
Quinton answered 90% of his test questions correctly. Quinton answered 54 questions correctly.
snow_tiger [21]
There would be 60 questions on the test.

90%=54
1%= 54/90 = 6/10
100%= 6×100/10 =6×10=60
7 0
2 years ago
If a man intakes 75g of protein
Evgesh-ka [11]
He's gonna make some good gains at the gym.
7 0
3 years ago
How much grain can this container hold?
ludmilkaskok [199]

Answer:

953.78 in^3 of grain.

Step-by-step explanation:

The volume of a cylinder = π r^2 h.

For this cylinder r =  radius of the base = 9/2

= 4.5 in  and the height h = 15 in

So the volume is 3.14 * 4.5^2 * 15

= 953.78 in^3.

8 0
3 years ago
Read 2 more answers
Sean and Leah are playing a computer game. Sean scored 72,491points. Leah scored 19,326 points more than Sean.How many points di
natita [175]
72,491 + 19,326 = 91,817
Leah scored 91,817 points
4 0
2 years ago
Read 2 more answers
I need help with question 2 !!
Stells [14]

Answer:

sorry but idk

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Which number in the monomial 125x18y3z25 needs to be changed to make it a perfect cube?
    7·2 answers
  • Whats the correlation between a cars value and its age
    7·1 answer
  • James was gathering wood for the
    13·1 answer
  • Find the x.intercept and the y.intercept of the graph of each quation. Then graph the equation
    11·1 answer
  • There are three square gardens whose lengths of the sides are 3 ft, 7ft, and 2 ft respectively. Find the total area of the three
    5·1 answer
  • What is the distance from the origin to point A graphed on the complex plane below?
    8·1 answer
  • Please help!!!! <br> Solve the following equation for m:<br> m/3=6
    7·2 answers
  • The parabola is the graph for which parent function?​
    10·1 answer
  • Sally owns an I cream store. Each ice cream scoop contains 2/3 cups of Ice cream. Each container of Ice cream holds 80 cups. If
    8·1 answer
  • Which number best represents the slope of the graphed line?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!