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Question
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = x – 6, g(x) = x2
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Solution
f(x) = x – 6, g(x) = x2
fog = fog(x)
= f(g(x))
fog = f(x)2
= x2 – 6
gof = gof(x)
= g(x – 6)
= (x – 6)2
= x2 – 12x + 36
fog ≠ gof
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