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44 votes
44 votes
For the given functions fand g, find the indicated composition.

f(x) = x2 - 2x + 3, g(x) = x2 - 2x - 3
(f•g)(5)
291
303
123
111

User Nhylated
by
3.7k points

1 Answer

15 votes
15 votes

In general
\left( f\circ g \right)(x) = f\left(g(x)\right), so in your case you need to work out
\left( f\circ g \right)(5) = f\left(g(5)\right).

You start by finding
g(5) = (5)^2 - 2(5) -3.

Once you work that out, you'll then plug that answer in as an x-value into
f(x).

That will give you your final answer.

User ArthurJ
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2.7k points