Question

Given f(x) = 2x² - 3 and g(x) = x + 1 determine g(f(3)​

Answer 1

g(f(3)) = 16

Explanation:

Step 1: Define

f(x) = 2x² - 3

g(x) = x + 1

f(3) = x = 3

Step 2: Find f(3)

f(3) = 2(3)² - 3

f(3) = 2(9) - 3

f(3) = 18 - 3

f(3) = 15

Step 3: Find g(15)

g(15) = 15 + 1

g(15) = 16

g(f(3)) = 16