Math  /  Algebra

QuestionFind (fg)(x)(f \circ g)(x) and its domain for f(x)=5x2+36f(x)=\frac{5}{x^{2}+36} and g(x)=4+xg(x)=\sqrt{4+x}.

Studdy Solution
implify the denominator.
(fg)(x)=540+x(f \circ g)(x) = \frac{5}{40+x}So, the composition of the functions ff and gg is (fg)(x)=540+x(f \circ g)(x) = \frac{5}{40+x}.We will find the domain in the next part.

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