Question

Given functions: f(x) = 16x and g(x) = 24x, find (f ∘ g)(2).

A. (f ∘ g)(2) = 12x
B. (f ∘ g)(2) = 72x
C. (f ∘ g)(2) = -30x
D. (f ∘ g)(2) = 192

Answer 1

The composition (f \circ g)(2) is calculated by applying g(2) first, which is 48, and then applying f to that result giving 768; choice D was intended but is incorrect.

Step-by-step explanation:

To find (f \circ g)(2), we need to evaluate the function g at 2 and then apply the function f to that result. So, we start by finding g(2) which is 24\times2 giving us 48. Now we apply f to 48, so we have f(48) which is 16\times48. Calculating this, we get 768. Therefore, (f \circ g)(2) is 768, and the correct choice is D. (f \circ g)(2) = 192, which seems to be an error as 768 is the right calculation result but not given in the options.