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

Question 188

Multiple Choice

Find the domain of the composite function f fgf ^ { \circ } g
- f(x) =7x;g(x) =2x+1f ( x ) = \frac { - 7 } { x } ; \quad g ( x ) = \frac { - 2 } { x + 1 }


A) {xx1}\{ x \mid x \neq - 1 \}
B) {xx1,x0}\{ x \mid x \neq - 1 , x \neq 0 \}
C) {xx\{ x \mid x is any real number }\}
D) {xx0,x1,x7}\{ x \mid x \neq 0 , x \neq - 1 , x \neq 7 \}

Correct Answer:

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