What is the domain of (sqrt(4x-11))/(x-9) ?

The domain of (sqrt(4x-11))/(x-9) is 11/4 9

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domain of (sqrt(4x-11))/(x-9)

domain

\frac{4 x - 11}{x - 9}

\frac{11}{4} \leq x < 9 or x > 9

Interval Notation

[\frac{11}{4}, 9) \cup (9, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{11}{4}

Find undefined (singularity) points:

x = 9

Combine real regions and undefined points for final function domain

\frac{11}{4} \leq x < 9 or x > 9

\frac{tan ( 2 x )}{x}

f (x) = \frac{2}{x}

\frac{x ^{4}}{x ^{2} + x - 6}

f (x) = \frac{1}{x - 4}

f (x) = 9 - x^{2} - x + 1

What is the domain of (sqrt(4x-11))/(x-9) ?
The domain of (sqrt(4x-11))/(x-9) is 11/4 <= x<9\lor x>9