Question
Asked Dec 7, 2019
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f(x)=x^2 and g(x)=x^2+7, find the followind compostite functions and state the domain of each

(a) f o g

(b) g o f

(c) f o f

(d) g o g

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Expert Answer

Step 1

To find the composite functions of the f(x) and g(x).

Where f(x) = x2 and g(x) = x2 + 7

Step 2

(f g)(x)

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(f°g)(x) = f (8(x)) (fog)(x)= f (x² +7) (So8)(x)=(x* +7)* (f°g)(x)=x* +14x² + 49

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Step 3

(g f)(x)

...
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(g• f)(x) = 8(f(x)) (gof)(x)=g(x*) (8°F)(x)=(x³)' +7 (g°f)(x) =x* +7

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