(a) fog X-6 (b) gof (c) fof (d) gog

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
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Please help me answer letter C.

For f(x) =
(a) fog
5
x-6
(a) (fog)(x) =
and g(x)=
(b) gof
5x
1-6x
1
find the following composite functions and state the domain of each.
X'
(c) fof
(d) gog
(Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
The domain off og is
X=0, x#
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. The domain of fog is all real numbers.
(b) (gof)(x) =
x-6
5
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of g of is {x|x#6}.
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O B. The domain of g of is all real numbers.
(c) (fof)(x) = (Simplify your answer.)
Transcribed Image Text:For f(x) = (a) fog 5 x-6 (a) (fog)(x) = and g(x)= (b) gof 5x 1-6x 1 find the following composite functions and state the domain of each. X' (c) fof (d) gog (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. The domain off og is X=0, x# (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The domain of fog is all real numbers. (b) (gof)(x) = x-6 5 (Simplify your answer. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of g of is {x|x#6}. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of g of is all real numbers. (c) (fof)(x) = (Simplify your answer.)
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