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X-7 X+2 For f(x)= x+6 and g(x)= X-3' find the following composite functions and state the domain of each. a. fog b.gof c. fof

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X-7 X+2 For f(x)= x+6 and g(x)= X-3' find the following composite functions and state the domain of each. a. fog b.gof c. fof d. gog a. (fog)(x)= 23-6x 7x-16 (Factor completely. Simplify your answer.) What is the domain of fo g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The domain is x|x #3,x 16 7 (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) B. The domain is all real numbers. b. (go f)(x)= 3x+5 -2x-25 (Factor completely. Simplify your answer.) What is the domain of go f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is xx- {[? -25 2 ,x%-6 (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) OB. The domain is all real numbers. c. (fof)(x) = (Factor completely. Simplify your answer.)

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