Question

"Three functions are given.

f(x) = -3x
g(x) = |x - 2|
h(x) = 2x + 6
Find (fh)(1).

Answer 1

To find (fh)(1), you multiply f(1) by h(1), which are -3 and 8 respectively, giving you a final answer of -24.

Step-by-step explanation:

To find (fh)(1), we need to compute the product of f(x) and h(x) evaluated at x = 1. Firstly, let's find the two values separately:

• f(1) = -3×1 = -3
• h(1) = 2×1 + 6 = 8

Now, let's multiply these values together to find (fh)(1):

(fh)(1) = f(1) × h(1) = -3 × 8 = -24

Therefore, the value of (fh)(1) is -24.