Question

If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?

Answer 1

Answer:

g(f(2)) = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = x² - 5

Step 2: Find g(f(2))

f(2)

1. Substitute in x:                    f(2) = 3(2) - 2
2. Multiply:                               f(2) = 6 - 2
3. Subtract:                              f(2) = 4

g(f(2))

1. Substitute in x:                    g(4) = 4² - 5
2. Exponents:                          g(4) = 16 - 5
3. Subtract:                              g(4) = 11