What is the domain of y=(sqrt(x-3))/((x+7)(x-13)) ?

The domain of y=(sqrt(x-3))/((x+7)(x-13)) is 3 13

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domain of y=(sqrt(x-3))/((x+7)(x-13))

domain

y = \frac{x - 3}{( x + 7 ) ( x - 13 )}

3 \leq x < 13 or x > 13

Interval Notation

[3, 13) \cup (13, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = - 7, x = 13

Combine real regions and undefined points for final function domain

3 \leq x < 13 or x > 13

f (x) = \frac{9 x}{x + 2}

f (x) = (- 1.4)

\frac{5 x - 3}{2 x + 3}

\frac{3 x - 4}{5 x + 6}

f (x) = \frac{( 10 + ∣ x ∣ )}{x}

What is the domain of y=(sqrt(x-3))/((x+7)(x-13)) ?
The domain of y=(sqrt(x-3))/((x+7)(x-13)) is 3<= x<13\lor x>13