The function of f (x) is defined by f (x)=4x+7. the inverse of f (x) is g (x). what is g (15)?

g(15) = 2

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality 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

Rewrite:                    y = 4x + 7Swap:                        x = 4y + 7Isolate y term:          x - 7 = 4yIsolate y:                   (x - 7)/4 = yRewrite:                    y = (x - 7)/4Back-substitute:       g(x) = (x - 7)/4

Step 3: Evaluate

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

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