Question

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

f−1(x) = The quantity of 2 minus 4x, divided by 3.
f−1(x) = The quantity of 3x minus 2, divided by 4.
f−1(x) = The quantity of negative 4x minus 2, divided by 3.
f−1(x) = The quantity of 3x plus 2, divided by 4.

Answer 1

@jim_thompson5910 @Josh21096

Answer 2

First replace f(x) with y. Then swap x and y. Afterwards, solve for y.


\[\Large f(x) = \frac{4x-2}{3}\]

\[\Large y = \frac{4x-2}{3}\]

\[\Large x = \frac{4y-2}{3}\]

\[\Large 3x = 4y-2\]


I'll let you finish up.

Answer 3

im so confused dont u divide by 3

Answer 4

@jim_thompson5910

Answer 5

I multiplied both sides by 3 to move the 3 over. I ultimately want to solve for y.

Answer 6

so subtract 4 from both sides

Answer 7

why not add 2 to both sides

3x = 4y - 2

3x+2 = 4y

4y = 3x+2

y = ???

Answer 8

y=3/4+2

Answer 9

so it be D

Answer 10

I think you meant to say

\[\Large y = \frac{3x+2}{4}\]

Answer 11

ya i just cant type it out like that

Answer 12

alright, just checking, yes it is D

Answer 13

thank you

Answer 14

you're welcome