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math question

If f(x) = sqrt(x^2-1) and g(x) = sqrt(x-1), which expression represents f(x)/g(x) for x>1?


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Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
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If f(x) = √(x^2-1) and g(x) = √(x-1), then,
 
for x>1, f(x)/g(x) = √(x^2-1)/√(x-1)
 
= √((x^2-1)/(x-1)) = √((x+1)(x-1)/(x-1)) 
 
= √(x+1), x>1.