QuestionFor $f(x)=\sqrt{x}$ and $g(x)=4 x+1$, find the following composite functions and state the domain of each. (a) $f \circ g$ (b) $g \circ f$ (c) $f \circ f$ (d) $\mathrm{g} \circ \mathrm{g}$ (a) $(f \circ g)(x)=$ $\square$ (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $f \circ \mathrm{~g}$ is $\{\mathrm{x} \mid \square\}$. $\square$ (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $f \circ g$ is all real numbers. (b) $(g \circ f)(x)=$ $\square$ (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $g \circ f$ is $\{x$ $\square$ \}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $g \circ f$ is all real numbers. (c) $(f \circ f)(x)=$ $\square$ (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $f$ o $f$ is $\{x$ $\square$ \}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $f$ o $f$ is all real numbers.