What is the domain of (sqrt(x+3))/((x+8)(x-2)) ?

The domain of (sqrt(x+3))/((x+8)(x-2)) is -3 2

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domain of (sqrt(x+3))/((x+8)(x-2))

domain

\frac{x + 3}{( x + 8 ) ( x - 2 )}

- 3 \leq x < 2 or x > 2

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = - 8, x = 2

Combine real regions and undefined points for final function domain

- 3 \leq x < 2 or x > 2

x = 2

x^{4} (x - 2) (x + 3)

\frac{5 x - y}{3} = \frac{5 x - 4}{6}

f (x) = \frac{x - 1}{x ^{3}}

f (x) = 4 n + 16

What is the domain of (sqrt(x+3))/((x+8)(x-2)) ?
The domain of (sqrt(x+3))/((x+8)(x-2)) is -3<= x<2\lor x>2