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F(x) = 4-x2 and g=(x)=2x+5 what is the value of (f(g(-2))

User Eightgate
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1 Answer

7 votes

Answer:

f(g(-2)) = 3

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

Functions

  • Function Notation
  • Composite Functions

Explanation:

Step 1: Define

Identify

f(x) = 4 - x²

g(x) = 2x + 5

Step 2: Find g(-2)

  1. Substitute in x [Function g(x)]: g(-2) = 2(-2) + 5
  2. Multiply: g(-2) = -4 + 5
  3. Add: g(-2) = 1

Step 3: Find f(g(-2))

  1. Substitute in x [Function f(x)]: f(g(-2)) = 4 - (1)²
  2. Evaluate exponents: f(g(-2)) = 4 - 1
  3. Subtract: f(g(-2)) = 3
User Nir Berko
by
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