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olga_2 [115]
2 years ago
10

Let f(x)=3x+1 and g(x)=2x2−1 Find f(g(2)) 10 22 97 28

Mathematics
1 answer:
kupik [55]2 years ago
6 0

Answer:

f(g(2)) = 22

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Composition of functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

g(x) = 2x² - 1

<u>Step 2: Find g(2)</u>

  1. Substitute:                    g(2) = 2(2)² - 1
  2. Evaluate:                       g(2) = 2(4) - 1
  3. Multiply:                        g(2) = 8 - 1
  4. Subtract:                       g(2) = 7

<u>Step 3: Find f(g(2))</u>

  1. Define:                    g(2) = 7
  2. Rewrite:                   f(7)
  3. Substitute:               f(7) = 3(7) + 1
  4. Multiply:                   f(7) = 21 + 1
  5. Add:                         f(7) = 22

And we have our final answer!

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