Given the function f(x)=2x+5 and g(x)=x-7, solve for f(g(x)) when x=-3
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Answer:
(x + 3)(x - 1)(x + 2)
Step-by-step explanation:
The fractions are:
Factor each denominator
We must find the least common multiple of the denominators. We take the maximum power of each separate factor.
Factors of first fraction = (x + 3) × (x - 1)
Factors of second fraction = (x + 3) × (x + 2)
LCM = (x + 3)(x - 1)(x + 2)
The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).