Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° 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 $f(g(x)) = \frac{6}{g(x) + 1}$ becomes $\frac{6}{(x + 2) + 1}$ or $\frac{6}{x + 3}$. The denominator cannot be zero, so $x + 3 \neq 0$, which means $x \neq -3$.

Choose the One Alternative That Best Completes the Statement or Answers