Question

Let f(x) = 2x and g(x) = x - 2. The graph of (fog)(x) is shown below. What is the value of (fog)(2)?

A) 1
B) 2
C) 3
D) 4

Answer 1

The value of (fog)(2) is 0.

Step-by-step explanation:

The given question involves the composition of functions f(x) = 2x and g(x) = x - 2.

To find (fog)(2), we need to substitute the value 2 into g(x) first, and then substitute the result into f(x).

Starting with g(x), when x = 2, g(x) = 2 - 2 = 0.

Then, substituting the result into f(x), f(g(2)) = f(0) = 2(0) = 0.

Therefore, the value of (fog)(2) is 0.