For $$ f ( x ) = \sqrt { x } $$ and $$ g ( x ) = 9 x + 7 $$ , find the following composite functions and state the domain of each. (a) $$ f \circ g $$ (b) $$ g \circ f $$ (c) $$ f \circ f $$ (d) $$ g \circ g$$ (b) $$ ( g \circ f ) ( x ) = 9 \sqrt { x } + 7 $$ A. The domain of $$ g \circ f $$ is $$ \{ x | \geq 0 \} $$ . (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $$ g $$ o $$ f $$ 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 $$ f $$ of 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. (d) $$ ( g \circ g ) ( x ) = \square $$ (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $$ g \circ g $$ is $$ \{ x | \square \} $$ . (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $$ g \circ g $$ is all real numbers.

Question

For $$ f ( x ) = \sqrt { x } $$ and $$ g ( x ) = 9 x + 7 $$ , find the following composite functions and state the domain of each. (a) $$ f \circ g $$ (b) $$ g \circ f $$ (c) $$ f \circ f $$ (d) $$ g \circ g$$  (b) $$ ( g \circ f ) ( x ) = 9 \sqrt { x } + 7 $$ A. The domain of $$ g \circ f $$ is $$ \{ x | \geq 0 \} $$ . (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $$ g $$ o $$ f $$ 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 $$ f $$ of 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.  (d) $$ ( g \circ g ) ( x ) = \square $$ (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of $$ g \circ g $$ is $$ \{ x | \square \} $$ . (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of $$ g \circ g $$ is all real numbers.

Schofield Schmidt · Accepted Answer

$$( f \circ f ) ( x ) = \sqrt [ 4 ] { x } A $$ $$ ( g \circ g ) ( x ) = 81 x + 70$$

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