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4 votes
F(x)=x+3
g(x) = 2x² - 4
Find (f. g)(x).

User Anoosh
by
8.2k points

1 Answer

6 votes

Answer:


(f \cdot g)(x) =
2x^2 -1

Explanation:


(f \cdot g)(x), read as "f of g of x", means we have to use the function
\bf g(x) as input for the function
\bf f(x). This means, we have to replace the
x in the definition of
f(x) with
g(x).


f(x)=x+3


g(x) = 2x^2 - 4


(f \cdot g)(x) = f(g(x))


g(x) + 3


(2x^2 - 4) + 3


2x^2 -1

User Kraskevich
by
7.7k points

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