SOLUTION: Find the domain for the function f(x) = the quotient of the square root of the quantity x minus 3 and the quantity x minus 5.

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Question 1103802: Find the domain for the function f(x) = the quotient of the square root of the quantity x minus 3 and the quantity x minus 5.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28f%28x%29=sqrt%28x-3%29%2F%28x-5%29%29

Restriction to domain are that x%3E03, AND x%3C%3E5.
Numerator must not contain imaginary number, and division by 0 is not allowed.

DOMAIN:
3%3C=x%3C5 AND x%3E5
In words, that means, the domain for f(x) is the set of real numbers x such that x is greater than or equal to three and less than five; and x greater than five.


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(Look for the definition of Domain of a Function.)