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Solve the problem.Find (g ∘ f)(2) when f(x) = and g(x) = 4x2.

Solve the problem.Find (g ∘ f)(2) when f(x) = and g(x) = 4x2.-example-1
User Tamina
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3.1k points

1 Answer

26 votes
26 votes

In order to calculate (gof)(2), first let's calculate f(2), then we use the result as the value of x for g(x).

So we have:


\begin{gathered} f(x)=√(2x+5)\\ \\ f(2)=√(4+5)\\ \\ f(2)=3\\ \\ \\ \\ g(x)=4x^2\\ \\ g(f(2))=g(3)=4\cdot3^2\\ \\ g(f(2))=36 \end{gathered}

User Koxzi
by
2.5k points
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