Question

Write simplified expressions for f(h(x)) and h(f(x))
f(x)=8x−7 and h(x) = x+7 / 8
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Answer 1

f(h(x)) = x

h(f(x)) = x

Explanation:

f(x) = 8x-7

h(x) = x+7/8

We need to find f(h(x)) and h(f(x))

Finding f(h(x))

Putting value of h(x) into f(x) i.e

f(h(x)) = 8(x+7/8)-7

f(h(x)) = x+7-7

f(h(x)) = x

Now finding h(f(x))

h(f(x)) = (8x-7)+7/8

h(f(x)) = 8x-7+7/8

h(f(x)) = 8x/8

h(f(x)) = x