If f(x) = 2x - 1 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3
1 answer:
Answer:
f(g(-3)) = -11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 2x - 1
g(x) = 2x + 1
<em>x</em> = -3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(g(-3))
- Substitute in <em>x</em> [Function g(x)]: g(-3) = 2(-3) + 1
- Multiply: g(-3) = -6 + 1
- Add: g(-3) = -5
- Rewrite: f(-5)
- Substitute in <em>x</em> [Function f(x)]: f(-5) = 2(-5) - 1
- Multiply: f(-5) = -10 - 1
- Subtract: f(-5) = -11
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