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Answer:

g(f(-10)) = -22

General Formulas and Concepts:

  • Compositions of Functions

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 10

g(x) = x - 2

f(-10) is x = -10

Find g(f(-10))

Step 2: Solve:

  1. Find f(-10). Substitute:                         f(-10) = 3(-10) + 10
  2. Multiply:                                               f(-10) = -30 + 10
  3. Add:                                                     f(-10) = -20
  4. Substitute:                                           g(-20) = -20 - 2
  5. Subtract:                                              g(-20) = -22
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