Let f(x)=3x+1 and g(x)=2x2−1
Find f(g(2))

10

22

97

28

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!