Let f(x)= $x^{2}$ $x^2$ and g(x)=x+6, find: (f ∘ g) (x)?

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Let f(x)= $x^{2}$ $x^2$ and g(x)=x+6, find: (f ∘ g) (x)?

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Answer 1 · 2018-02-27T03:07:26

$(f \circ g) (x) = x^{2} + 12 x + 36$ $(f@g)(x)=x^2+12x+36$

Explanation:

In this function composition, $(f \circ g) (x)$ $(f@g)(x)$ indicates we are to put the $g$ $g$ function into the $f$ $f$ function as an input. Therefore, we are really looking for:

$f (g (x)) = {(g (x))}^{2}$ $f(color(red)g(x))=(color(red)g(x))^2$

Substituting, we get

$f (x + 6) = {(x + 6)}^{2}$ $f(x+6)=(x+6)^2$

And finally expanding, our final answer is

$(f \circ g) (x) = x^{2} + 12 x + 36$ $(f@g)(x)=x^2+12x+36$

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Let f(x)= $x^{2}$ $x^2$ and g(x)=x+6, find: (f ∘ g) (x)?

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Explanation:

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Let f(x)= $x^{2}$ $x^2$ and g(x)=x+6, find: (f ∘ g) (x)?