Test 4 Section 6 - #16 (page 597)

As with any function question, just SUBSTITUTE whatever is inside the parentheses in for x. So if h(x) = 14 + (x²)/4, and the question asks about h(2m), just put 2m in for x. You'll get 14 + (2m)² / 4, which is 14 + (4m²)/4, which is 14 + m². Since we know h(2m) = 9m, that can now become 14+m² = 9m. Cleaning that up, we get m² - 9m + 14 = 0, which factors into (m - 2)(m - 7) = 0, so m is either 2 or 7.