In the $xy$-plane, the graph of function $f$, where $y = f(x)$, has e…

Question

Prompt

In the

x y

-plane, the graph of function

f

, where

y = f (x)

, has exactly 8

x

-intercepts. One of these

x

-intercepts is

(17, 0)

. The rational function

g

is defined by

g (x) = \frac{f ( x )}{x - 17}

. In the

x y

-plane, how many

x

-intercepts does the graph of

y = g (x)

have?