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

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**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

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