Question

Guys, please help me? Attachment included...

Answer 1

Help? Could someone explain it to me?

Answer 2

@robtobey

Answer 3

You have to find the inverse of f(x)

Answer 4

First, replace f(x) with y to make it easier to solve

Answer 5

Next, replace all x's with y's and all y's with x's

Answer 6

then solve for y

Answer 7

Ok here :
first step: replace f(x) with y
\[y= \frac{ 3x-1 }{ 2}\]

2nd step:
Replace al x's with y and all y's with x\[x=\frac{ 3y-1 }{ 2 }\]

Answer 8

Now solve for y:

\[2 * x= \frac{ 3y-1 }{ 2 } *2\]

multiply 2 to both sides, the twos cancel out
that leaves you with
\[2x=3y-1\]

now add 1 to both sides
\[2x+1=3y\]

now divide 3 to both sides
\[\frac{ 2x+1 }{ 3 }=y\]

Answer 9

Now replace y with \[f(x)^{-1}\]

Answer 10

and you're done :D