What is the domain of 2/((2x-5)^{0.5)} ?

The domain of 2/((2x-5)^{0.5)} is x> 5/2

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domain of 2/((2x-5)^{0.5)}

domain

\frac{2}{( 2 x - 5 ) ^{0.5}}

x > \frac{5}{2}

Interval Notation

(\frac{5}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{5}{2}

Find undefined (singularity) points:

x = \frac{5}{2}

Combine real regions and undefined points for final function domain

x > \frac{5}{2}

f (x) = cos (3 x)

y = 3 x - 7

f (x) = \frac{x}{2 x - 3}

f (x) = 4 (x - 2) - 1

f (x) = 2 (\frac{1}{4})^{x}

What is the domain of 2/((2x-5)^{0.5)} ?
The domain of 2/((2x-5)^{0.5)} is x> 5/2