Question

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


10

22

97

28

Answer 1

Answer:

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)

1. Substitute:                    g(2) = 2(2)² - 1
2. Evaluate:                       g(2) = 2(4) - 1
3. Multiply:                        g(2) = 8 - 1
4. Subtract:                       g(2) = 7

Step 3: Find f(g(2))

1. Define:                    g(2) = 7
2. Rewrite:                   f(7)
3. Substitute:               f(7) = 3(7) + 1
4. Multiply:                   f(7) = 21 + 1
5. Add:                         f(7) = 22

And we have our final answer!