Question

F(x)=32x,g(x)=2x Find (f∘g)(x). Assume x≥0.
a) 64x
b) 30x
c) 34x
d) 66x

Answer 1

To find the composition (f∘g)(x) for the functions f(x)=32x and g(x)=2x, substitute g(x) into f(x) and multipy to get the answer 64x.

Step-by-step explanation:

The question asks to find the composition of two functions, f(x)=32x and g(x)=2x, which is written as (f∘g)(x). To find the composition, you substitute g(x) into f(x). Here's the step-by-step computation:

1. Start with the function g(x): g(x) = 2x.
2. Substitute g(x) into f(x): f(g(x)) = f(2x) = 32(2x).
3. Multiply the constants inside f(x): 32 * 2x = 64x.

The correct answer is (a) 64x, as that's the result of the composition of the functions.