Question

Asked Oct 8, 2019

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f(x) =x-15 and g(x)=x+14

(a) ( f o g )(x)=

(b) ( g o f )(x) =

(c) thus g(x)= an inverse function of f(x)

Step 1

Given,

f(x) = x – 15 and g(x) = x + 14

Part a

(f o g) (x) = f(g(x)) = f(x+14) = (x+14) – 15 = x – 1

Part b

(g o f) (x) = g(f(x)) = g(x-15) = (x-15) + 14 = x – 1

Step 2

Part c

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