SOLUTION: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: What is g(x) = f^-1(x) if f(x) = 1/2 x? a. g(x) = 0 b. g(x) = -2x c. g(x) = 1/2x^-1 d. g(x) = 2x

Question 156161: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
What is g(x) = f^-1(x) if f(x) = 1/2 x?
a. g(x) = 0
b. g(x) = -2x
c. g(x) = 1/2x^-1
d. g(x) = 2x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the function ?

Start with the given expression

Replace with "y"

Switch "x" and "y"

Multiply both sides by 2 to solve for "y"

So after solving for "y", we get . So the inverse function is

======================================

Or...

Is the function ?

Start with the given expression

Replace with "y"

Switch "x" and "y"

Multiply both sides by

Divide both sides by to solve for "y"

So after solving for "y", we get . So the inverse function is

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