What is the domain of (2x+3)/((5x-1)(x-2)^{0.5)} ?

The domain of (2x+3)/((5x-1)(x-2)^{0.5)} is x>2

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domain of (2x+3)/((5x-1)(x-2)^{0.5)}

domain

\frac{2 x + 3}{( 5 x - 1 ) ( x - 2 ) ^{0.5}}

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x > 2

f (x) = \frac{1}{x ^{2} + x - 12}

f (x) = (- 2 x^{2} + 3) (x + 2)

f (x) = \frac{20}{x ^{2} - 4 x - 4}

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

9 t - 81

What is the domain of (2x+3)/((5x-1)(x-2)^{0.5)} ?
The domain of (2x+3)/((5x-1)(x-2)^{0.5)} is x>2