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F(x) = x2 + 3; g(x) = Square root of quantity x minus two.

Find f(g(x)).

2 Answers

1 vote
First we take the equation g(x) and plug it into x for f(x)
Step 1: F(g(x)) = (√(x) - 2)^2 + 3
Step 2: F(g(x)) = x - 4√(x) + 4 + 3
Step 3: F(g(x)) = x - 4
√(x) + 7
User Shankze
by
8.5k points
5 votes
Substitute g(x) for the x in f(x)


f(x)=x^2+3 \\ \\ g(x) √(x-2) \\ \\ f(g(x))=( √(x-2))^2+3 \\ \\ f(g(x))=x-2+3 \\ \\ f(g(x))=x+1
User AskYous
by
8.3k points

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