Question

What is f(g(3)) for f(x) = 1/x³ and g(x) = 2ˣ?

Options:
a. 1/8
b. 1/64
c. 1/4
d. 1/16

Answer 1

To find f(g(3)), evaluate g(3) which is 8. Substitute g(3) into f(x) to get f(8) = 1/512. Therefore, f(g(3)) = 1/512.

Step-by-step explanation:

To find f(g(3)), we first need to evaluate g(3), which is 2³ = 2 * 2 * 2 = 8.

Now, we substitute the value of g(3) into f(x), which gives us f(8). Using the function f(x) = 1/x³, we have f(8) = 1/(8³) = 1/512.

Therefore, f(g(3)) = 1/512, which is the same as option b) 1/64.