For f(x) = 6x + 7 and g(x)=x², find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d)

Question

For f(x) = 6x + 7 and g(x)=x², find the following composite functions and state the domain of each.
(a) fog
(b) gof
(c) fof
(d) gog
(a) (fog)(x) = 6x² +7 (Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box within
your choice.
*****
A. The domain of fog is {x}.
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of fog is all real numbers.
(b) (gof)(x) = 36x²
+84x +49 (Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The domain of g of is {x}.
O
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of g of is all real numbers.

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