Answer:
Option (1).
Explanation:
Given functions are f(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)] =
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.