SOLUTION: f(x) = 3x-5 / x+2 f ^ -1 (x) = a) 2x+5 / x-3 b) -2x-5 / x-3 c) -2x-5 / x+5 d) 2x+3 / x-5 e) None of these

Question 121733: f(x) = 3x-5 / x+2 f ^ -1 (x) =

a) 2x+5 / x-3
b) -2x-5 / x-3
c) -2x-5 / x+5
d) 2x+3 / x-5
e) None of these
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1

Start with the given function

In order to find the inverse function, replace every x with f(x) and vice versa.

So the goal is to solve for f(x)

Multiply both sides by

Distribute

Subtract 3f(x) from both sides

Subtract 2x from both sides

Rearrange the terms

Factor out f(x)

Divide both sides by to isolate f(x)

----------------------

So the inverse function is

So the answer is B)
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