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

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

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

domain

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

- 3 \leq x < 2 or x > 2

Interval Notation

[- 3, 2) \cup (2, \infty)

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

\frac{3 x}{x ^{2} + 3}

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

(6.7) (9.11)

2 x^{4}

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