For f(x)=√x and g(x) = 7x + 4, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d)

Question

For f(x)=√x and g(x) = 7x + 4, find the following composite functions and state the domain of each.
(a) fog
(b) gof
(c) fof
(d) gog
(a) (fog)(x) = √7x+4 (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
{x\x²-7}
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. The domain of f o g is all real numbers.
The domain of fog is x xX2-
(b) (gof)(x) = 7√x +4 (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
O A. The domain of g of is {x}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. The domain of g of is all real numbers.

Kunduz · Accepted Answer

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