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klio [65]
2 years ago
7

What’s the answer no work needed Given f (x) = 5x2 and g(x) = 2x + 3, find f(g(-4))

Mathematics
1 answer:
Crazy boy [7]2 years ago
4 0

Answer:

125

Step-by-step explanation:

Given

f(x) = 5x²

g(x) = 2x + 3

Now

g(-4) = 2 * (- 4) + 3

= - 8 + 3

= - 5

Also

f(g(-4)) = f( -5)

= 5 * ( -5)²

= 5 * 25

= 125

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(-5x + 6x²) - (6x² - 5x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    -5x + 6x² - 6x² + 5x
  2. [Subtraction] Combine like terms (x²):                                                             -5x + 5x
  3. [Addition] Combine like terms (x):                                                                   0
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