Guys, please help me? Attachment included...

Question

anonymous · Answer

Help? Could someone explain it to me?

anonymous · Answer

@robtobey

fanduekisses · Answer

You have to find the inverse of f(x)

fanduekisses · Answer

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

fanduekisses · Answer

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

fanduekisses · Answer

then solve for y

fanduekisses · Answer

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$$x=\frac{ 3y-1 }{ 2 }$$

fanduekisses · Answer

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
$$\frac{ 2x+1 }{ 3 }=y$$

fanduekisses · Answer

Now replace y with $$f(x)^{-1}$$

fanduekisses · Answer

and you're done :D