College

Let \( f(7) = 12 \) and \( g(2) = 7 \). What is the value of \( (f \circ g)(2) \)?

A. 12
B. 84
C. 7
D. 2

The answer is not C.

Answer :

We can see that (f o g)(2) = f(g(2)) = 12, the correct option is A.

How to find the value of the sum?

We want to find the value of (f o g)(2), this is just f evaluated in g(2).

So, we can write:

(f o g)(2) = f(g(2))

We know that g(2) = 7, then:

(f o g)(2) = f(g(2)) = f(7)

And we know that f(7) = 12, then we can just write:

(f o g)(2) = f(g(2)) = f(7)

(f o g)(2) = 12

The correct option is A.