SOLUTION: Decide whether or not the functions are inverses of each other. f(x)=(x-4)^2, x≥4; g(x)= sqrt(x+4)

Algebra ->  Functions -> SOLUTION: Decide whether or not the functions are inverses of each other. f(x)=(x-4)^2, x≥4; g(x)= sqrt(x+4)      Log On


   

Question 60240: Decide whether or not the functions are inverses of each other.
f(x)=(x-4)^2, x≥4; g(x)= sqrt(x+4)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Decide whether or not the functions are inverses of each other.
f%28x%29=%28x-4%29%5E2, x%3E=4; g%28x%29=sqrt%28x%2B4%29
find (fog)(x) and (gof)(x), if they =x, then they're inverses of each other.
%28fog%29%28x%29=%28sqrt%28x%2B4%29-4%29%5E2
%28fog%29%28x%29=%28sqrt%28x%2B4%29%29%5E2-8%2Asqrt%28x%2B4%29%2B16
%28fog%29%28x%29=x%2B4-8%2Asqrt%28x%2B4%29%2B16
%28fog%29%28x%29=x%2B20-8%2Asqrt%28x%2B4%29 No they aren't inverses.
:
If you mistyped this and g(x) was really g%28x%29=sqrt%28x%29%2B4, they are.
Happy Calculating!!!