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If f(x) = 2x+3 and g(x) = x^2 , then f[g(-3)]=?

1 Answer

Jan 24, 2018

$f (g (- 3)) = 21$ $f(g(-3))=21$

Explanation:

$evaluate g( -3) and substitute into f(x)$ $"evaluate g( -3) and substitute into f(x)"$

$g (- 3) = {(- 3)}^{2} = 9$ $g(color(red)(-3))=(color(red)(-3))^2=9$

$\Rightarrow f (g (- 3)) = f (9) = (2 \times 9) + 3 = 21$ $rArrf(g(-3))=f(9)=(2xx9)+3=21$

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