Question

Given f(x) = 3x-1 over 2, solve for f-1(4)

Answer 1

\[\frac{ 3x-1 }{ 2 }\]

Answer 2

hmm, is that f-1(4) this;
\[f _{1}(4)\]
?

Answer 3

its f\[f^{-7}\]

Answer 4

i mean one. whoops

Answer 5

Ok, the idea here is that when you apply the inverse function to the original function, you get back the input variable. i.e.
\[f ^{-1}(f(x)) = x\]

So setup the inverse f^(-1) to undo all the stuff that f(x) does. i.e. since f(x) multiplies x by 3 and divides by 2, you are going to multiply x by 2 and divide by 3. Also, add +1 to negate the -1 of f(x)
\[f ^{-1}(x) = ((2x) \div 3) + 1 \]

You can do the rest yourself.