SOLUTION: What is the implied domain of the function f(x) (square root of 4x-9)/x^2-81? Express answer in interval notation.

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Question 840989: What is the implied domain of the function f(x) (square root of 4x-9)/x^2-81? Express answer in interval notation.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Two issues to check : argument of the square root, division by zero.
The argument of the square root cannot be negative.
4x-9%3E=0
4x%3E=9
x%3E=9%2F4
The denominator cannot equal zero.
%28x%5E2-81%29=%28x%2B9%29%28x-9%29
x-9=0
x=9
So x=9 is not in the domain.
So the interval is,
(9%2F4,9)U(9,infinity)