The functions $g$ and $h$ are defined by the given equations. $$g(x)=…

Question

Prompt

The functions

g

and

h

are defined by the given equations.

g (x) = (x - 11)^{2} + 45

h (x) = 364 + \frac{x ^{2}}{2}

g (8) = t

, where

t

is a constant, what is the value of

h (t)