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Given: f(x) = x- 7 and h(x) = 2x + 3
Write the rule for f(h(xc)).

1 Answer

1 vote

Answer:


f(h(xc)) = 2xc-4

Explanation:

Given


f(x) = x - 7


h(x) = 2x + 3

Required


f(h(xc))

First, calculate h(xc)

If
h(x) = 2x + 3

Then


h(xc) = 2xc + 3

Solving further:


f(x) = x - 7

Substitute h(xc) for x


f(h(xc)) = h(xc) - 7

Substitute
h(xc) = 2xc + 3


f(h(xc)) = 2xc + 3 - 7


f(h(xc)) = 2xc-4

User Kurama
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