1. Given f(x) = 3x – 4 and g(x)=–2x+7 evaluate:
(fog)(5)

(f o g)(5) = -13

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Composition of functions

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(5) is f(g(5))

Step 2: Find composite function

Substitute:                     (f o g)(x) = 3(-2x + 7) - 4Distribute:                      (f o g)(x) = -6x + 21 - 4Combine like terms:     (f o g)(x) = -6x + 17

Step 3: Solve

Substitute:                    (f o g)(5) = -6(5) + 17Multiply:                        (f o g)(5) = -30 + 17Add:                              (f o g)(5) = -13

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