SOLUTION: can someone please help me with this problem: What is g(x) = f^-1(x) if f(x) = 1/2x ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can someone please help me with this problem: What is g(x) = f^-1(x) if f(x) = 1/2x ?      Log On


   



Question 160107: can someone please help me with this problem:
What is g(x) = f^-1(x) if f(x) = 1/2x ?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
What is g(x) = f^-1(x) if f(x) = 1/2x ?
Don't know if you mean:
f(x) = 1/(2x)
or
f(x) = (1/2)x
.
I'll assume the later.
.
To find the inverse of a function:
f(x) = (1/2)x
y = (1/2)x
Solve for x:
2y = x
substitute x and y:
2x = y
.
therefore,
f^-1(x) = 2x
.
AND,
g(x) = 2x