What is the domain of (sqrt(x+5))/((x+8)(x-9)) ?

The domain of (sqrt(x+5))/((x+8)(x-9)) is -5 9

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domain of (sqrt(x+5))/((x+8)(x-9))

domain

\frac{x + 5}{( x + 8 ) ( x - 9 )}

- 5 \leq x < 9 or x > 9

Interval Notation

[- 5, 9) \cup (9, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = - 8, x = 9

Combine real regions and undefined points for final function domain

- 5 \leq x < 9 or x > 9

f (x) = 9 + x

f (x) = 2^{- x} - 5

f (x) = \frac{3 + 5 x}{7}

x^{2} - 2 x + 2

x 4 - x^{2}

What is the domain of (sqrt(x+5))/((x+8)(x-9)) ?
The domain of (sqrt(x+5))/((x+8)(x-9)) is -5<= x<9\lor x>9