Question

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g•h)(5)?

Answer 1

(g · h)(5) = -50

Explanation:

Step 1: Define

h(x) = x - 7

g(x) = x²

Step 2: Find (g · h)(x)

(g · h)(x) = x²(x - 7)

(g · h)(x) = x³ - 7x²

Step 3: Find (g · h)(5)

(g · h)(5) = 5³ - 7(5)²

(g · h)(5) = 125 - 7(25)

(g · h)(5) = 125 - 175

(g · h)(5) = -50