Find f o gx and g o fx fx 5x 8 gx 10 3x f o 9x Simplify

Find (f o g)(x) and (g o f)(x). f(x) = 5x - 8, g(x) = 10 - 3x (f o 9)(x) = (Simplify your answer.) (g o f)(x) = (Simplify your answer.)

Solution

f(x) = 5x - 8

g(x) = 10 - 3x

(fog) (x) = Put g(x) in f(x)

(fog) (x) = 5 ( 10 - 3x) - 8 = 50 - 15x - 8 = -15x + 42

(gof) (x) = Put f(x) in g(x)

(gof) (x) = 10 - 3 (5x - 8) = 10 - 15x + 24 = -15x + 34

 Find (f o g)(x) and (g o f)(x). f(x) = 5x - 8, g(x) = 10 - 3x (f o 9)(x) = (Simplify your answer.) (g o f)(x) = (Simplify your answer.)Solutionf(x) = 5x - 8 g(

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