Question

FAST ANSWER PLEASE THANKS

Answer 1

Option (1).

Explanation:

Given functions are f(x) =
`(1)/(x)` and g(x) = x - 2

(fog)(x) = f[g(x)]

By substituting g(x) in place of x in the function f(x),

f[g(x)] =
`(1)/((x-2))`

Graph of the function f[g(x)] will have,

Vertical asymptotes : x = 2

Horizontal asymptotes : y = 0

And no oblique asymptotes.

Out of four options graph number (1) matches the given characteristics of the function.

Therefore, graph (1) will be the answer.