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

Question 486

Multiple Choice

Find the domain of the composite function f f∘gf ^ { \circ } g
- f(x) =xx+7;g(x) =7x+5f ( x ) = \frac { x } { x + 7 } ; \quad g ( x ) = \frac { 7 } { x + 5 }


A) {x∣x≠−5,x≠−6}\{ x \mid x \neq - 5 , x \neq - 6 \}
B) {x∣x≠0,x≠−5,x≠−6}\{ x \mid x \neq 0 , x \neq - 5 , x \neq - 6 \}
C) {x∣x\{ x \mid x is any real number }\}
D) {x∣x≠−5,x≠−7}\{ x \mid x \neq - 5 , x \neq - 7 \}

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