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

2

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
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Saige Grant
15.5k 3 10 26
answered 6 months ago