The function $g$ is defined by $g(x) = (x + 17)(t - x)$, where $t$ is…

Question

Prompt

The function

g

is defined by

g (x) = (x + 17) (t - x)

, where

t

is a constant. In the

x y

-plane, the graph of

y = g (x)

passes through the point

(23, 0)

. What is the value of

g (0)