Respuesta :

Space

Answer:

g(15) = 2

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Function inverses

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 7

g(x) = f⁻¹(x)

g(15) is x = 15

Step 2: Find inverse

  1. Rewrite:                    y = 4x + 7
  2. Swap:                        x = 4y + 7
  3. Isolate y term:          x - 7 = 4y
  4. Isolate y:                   (x - 7)/4 = y
  5. Rewrite:                    y = (x - 7)/4
  6. Back-substitute:       g(x) = (x - 7)/4

Step 3: Evaluate

  1. Substitute:                    g(15) = (15 - 7)/4
  2. Subtract:                       g(15) = 8/4
  3. Divide:                          g(15) = 2

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