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

Question 213

Multiple Choice

Find the domain of the composite function f f∘gf ^ { \circ } g
- f(x) =x−1;g(x) =1x−8f ( x ) = \sqrt { x - 1 } ; \quad g ( x ) = \frac { 1 } { x - 8 }


A) {x∣x≠8,x≠1}\{ x \mid x \neq 8 , x \neq 1 \}
B) {x∣x≥1,x≠8}\{ x \mid x \geq 1 , x \neq 8 \}
C) {x∣x\{ x \mid x is any real number }\}
D) {x∣8<x≤9}\{ x \mid 8 < x \leq 9 \}

Correct Answer:

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