QuestionFind the composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$: (a) $f \circ g$, (b) $g \circ f$, (c) $f \circ f$, (d) $g \circ g$. State each domain.

Studdy Solution
Substitute $x^2$ into $f(x)$ by replacing $x$ with $x^2$.
$$(f \circ g)(x) =9x^2+7$$The domain of this function is all real numbers because any real number can be squared and then multiplied by9 and added to7.