Question
Asked Dec 7, 2019
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and g(x) =x +5, find the following composite functions and state the domain of each.
For f(x) = >
(c) fof
(b) gof
(d) gog
(a) fog
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and g(x) =x +5, find the following composite functions and state the domain of each. For f(x) = > (c) fof (b) gof (d) gog (a) fog

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Expert Answer

Step 1

Given:

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f (x) = x² and g(x)=x² +5

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Step 2

Calculation:

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a) fog: fog = f(g(x)) = S(x* +5) =(r* +5)' = x* +10x² + 25 Domain of fog is (-∞,0)

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Step 3
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b) gof: gof =g(f(x)) -g(x*) =(x*)' +5 = x* +5 Domain of go f is (-0,0)

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