Question

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Answer 1

Answer:

Option (1).

Step-by-step explanation:

Given  functions are f(x) = $\frac{1}{x}$ 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)] = $\frac{1}{(x-2)}$

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.