What is the domain of sqrt((2x+9)/(x-1)) ?

The domain of sqrt((2x+9)/(x-1)) is x 1

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domain of sqrt((2x+9)/(x-1))

domain

\frac{2 x + 9}{x - 1}

x \leq - \frac{9}{2} or x > 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq - \frac{9}{2} or x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \leq - \frac{9}{2} or x > 1

y = sin (x) + - cos (x)

f (x) = \frac{1 - x ^{2}}{x - 2}

g (x) = \frac{x + 3}{x ^{2} - 6 x + 9}

3 + ln (x)

y = x^{2} - 4 x + 6

What is the domain of sqrt((2x+9)/(x-1)) ?
The domain of sqrt((2x+9)/(x-1)) is x<=-9/2 \lor x>1