Find the domain of the composite function f $f ^ { \circ } g $
-$$f ( x ) = \frac { 6 } { x + 1 } ; \quad g ( x ) = x + 2$$
A) $\{ x \mid x \neq - 3 \}$
B) $\{ x \mid x$ is any real number $\}$
C) $\{ x \mid x \neq - 1 \}$
D) $\{ x \mid x \neq - 1 , x \neq - 2 \}$

Question

Quizplus · Accepted Answer

The composite function $f(g(x)) = \frac{6}{(x+2)+1} = \frac{6}{x+3}$. The domain excludes $x = -3$ to avoid division by zero.

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

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