f(g(2)) = 22
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Algebra I
Composition of functions
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 1
g(x) = 2x² - 1
Step 2: Find g(2)
Substitute: g(2) = 2(2)² - 1Evaluate: g(2) = 2(4) - 1Multiply: g(2) = 8 - 1Subtract: g(2) = 7
Step 3: Find f(g(2))
Define: g(2) = 7Rewrite: f(7)Substitute: f(7) = 3(7) + 1Multiply: f(7) = 21 + 1Add: f(7) = 22
And we have our final answer!