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

Question 40

Multiple Choice

Given f(x) f(x) and g(x) g(x) , find the indicated composition and state its domain.
- f(x) =2x+35x8,g(x) =x8f(x) =\frac{2 x+3}{5 x-8}, g(x) =x-8
Find (fg) (x) (\mathrm{f} \circ g) (\mathrm{x}) and state its domain.


A) 2x+135x+48\frac{2 x+13}{5 x+48} , all real numbers except 485-\frac{48}{5} .

B) 2x135x48\frac{2 x-13}{5 x-48} , all real numbers exœpt 485\frac{48}{5} .

C) 2x+55x+16\frac{2 x+5}{5 x+16} , all real numbers except 165-\frac{16}{5} .

D) 2x55x16\frac{2 x-5}{5 x-16} , all real numbers except 165\frac{16}{5} .

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