Finding the Domain of a Composite Function. Find the domain of f circ g for the functions. f(x)=x^2-9 and g(x)=sqrt(9)-x^2

OlmekinjP 2021-09-15 Answered
Finding the Domain of a Composite Function. Find the domain of fg for the functions.
f(x)=x29andg(x)=9x2
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Expert Answer

Usamah Prosser
Answered 2021-09-16 Author has 86 answers
Solution:
The functions are f(x)=x29andg(x)=9x2
Now the composite function is obtained as,
fg=f(g)
=f(9x2)
(9x2)29d
=9x29
=x2
So the composite function is defined for all value of x.
Hence, the domain for the composite function is real number.
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