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

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

f (x) = x^{2} - 20

ln (\frac{1}{9 - ( x + 2 ) ^{2}})

f (x) = \frac{3}{x - 6}

y = \frac{2 x ^{2} - 5 x + 3}{4 x - 10}

y = 3 2 x + \frac{1}{4}

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