SOLUTION: Determine if g is the inverse of f. f(x)= √x+2 ; g(x)=x^2-2, x≥0

Algebra ->  Functions -> SOLUTION: Determine if g is the inverse of f. f(x)= √x+2 ; g(x)=x^2-2, x≥0      Log On


   



Question 1003839: Determine if g is the inverse of f.
f(x)= √x+2 ; g(x)=x^2-2, x≥0

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Here is one way to find out.
sqrt%28y%29%2B2=x
sqrt%28y%29=x-2
y=x%5E2-4x%2B4
or still kept factored, y=%28x-2%29%5E2--------this does not match g(x).

The two given functions are not inverses.