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Find the domain of the composite function f ° g.
-$$f ( x ) = \frac { - 7 } { x } ; \quad g ( x ) = \frac { - 2 } { x + 1 }$$
A) $\{ x \mid x \neq - 1 \}$
B) $\{ x \mid x \neq - 1 , x \neq 0 \}$
C) $\{ x \mid x$ is any real number $\}$
D) $\{ x \mid x \neq 0 , x \neq - 1 , x \neq 7 \}$

Question

Quizplus · Accepted Answer

The domain of g(x) is all real numbers except -1, since division by zero is undefined. The domain of f(x) is all real numbers except 0, since division by zero is undefined. Therefore, the domain of f ° g is all real numbers except -1 and 0.

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