What is the domain of ((2x+3))/((5x-1)sqrt(x-2)) ?

The domain of ((2x+3))/((5x-1)sqrt(x-2)) is x>2

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domain of ((2x+3))/((5x-1)sqrt(x-2))

domain

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

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

x + a

f (x) = \frac{2}{3} lo g_{10} (- 4 (x - 12) + 3)

8 t - 32

f (x) = \frac{x - 9}{x ^{2} - 2 x - 63}

f (x) = x 9 - x

What is the domain of ((2x+3))/((5x-1)sqrt(x-2)) ?
The domain of ((2x+3))/((5x-1)sqrt(x-2)) is x>2