Question

QUESTION 9

Find f(g(2)) for the following:
Given: ƒ (x) = 2x² − 1, g(x)=x+2
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Find:f(g(2))

Answer 1

x = 31

Explanation:

Given:

f(x) =

`2 {x}^(2) - 1`

g(x) = x + 2

We will first find g(2).

g(2) = 2 + 2 = 4

Next we will find f(g(2)).

f(g(2))= f(4) =

`2( {4}^(2) ) - 1 \\ = 2(16) - 1 \\ = 32 - 1 \\ = 31`