Question

Evaluate the composite function, where g(x) = x^2 – 7x and h(x) = 7 - 4x^2.
(hºg)(0)

Answer 1

7

Explanation:

Find (h°g)(0) can also be expressed as h(g(0)). Begin by calculating g(0). To evaluate the function g at 0, replace each x with 0. g(0) = (0)²-7(0). (0)²-7(0) is equal to 0 so now 0 becomes the input for h. Evaluate h(0) by replacing each x with 0 in the h function. h(0) = 7 - 4 (0)² = 7 - 0 = 7.