Check the following functions to see if they are inverses of each other h(x)=square root(2x) and k(t)=t^2/2?

Question

for x, t> oer equal to 0.

Answer 1

We have to verify if h(k(t) = t for every t. According to the definitions of h and k, h(k(t) = sqrt(2k(t)) = sqrt(2 * t^2/2) = sqrt)(t^2) = t. So, h and k are actually inverses of each other.