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

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

1 Answer

Order by

2

Answer:

g(f(2)) = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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)

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

g(f(2))

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

Edit

Saige Grant

15.5k 3 10 26

answered 6 months ago