Find the domain of the composite function f $f ^ { \circ } g $
-$$\mathrm { f } ( \mathrm { x } ) = 7 \mathrm { x } + 14 ; \quad \mathrm { g } ( \mathrm { x } ) = \mathrm { x } + 7$$
A) $\{ x \mid x$ is any real number $\}$
B) $\{ x \mid x \neq 9 \}$
C) $\{ x \mid x \neq - 7 , x \neq - 2 \}$
D) $\{ x \mid x \neq - 9 \}$

Question

Quizplus · Accepted Answer

The composite function $f(g(x))$ involves substituting $g(x)$ into $f$, resulting in $f(g(x)) = 7(x + 7) + 14$. This simplifies to a linear expression in terms of $x$, which does not introduce any restrictions on the domain of $x$. Therefore, $x$ can be any real number.

Find the Domain of the Composite Function F f∘gf ^ { \circ } g f∘g

Find the Domain of the Composite Function F $f ^ { \circ } g$