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Given f(x)f(x) And g(x)g(x) , Find the Indicated Composition and State Its Domain

Question 321

Multiple Choice

Given f(x) f(x) and g(x) g(x) , find the indicated composition and state its domain.
- f(x) =9x;g(x) =5x2f(x) =\frac{9}{x} ; g(x) =5 x^{2}
Find (gf) (x) (\mathrm{g} \circ \mathrm{f}) (\mathrm{x}) .


A) 95x2\frac{9}{5 x^{2}} , all real numbers except 0

B) 5x29\frac{5 x^{2}}{9} , all real numbers

C) 405x2\frac{405}{x^{2}} , all real numbers except 0

D) 5x281\frac{5 x^{2}}{81} , all real numbers

Correct Answer:

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