What is the domain of f(x)=(sqrt(x+5))/(x-2) ?

The domain of f(x)=(sqrt(x+5))/(x-2) is -5 2

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domain of f(x)=(sqrt(x+5))/(x-2)

domain

f (x) = \frac{x + 5}{x - 2}

- 5 \leq x < 2 or x > 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 5 \leq x < 2 or x > 2

f (x) = \frac{x + 2}{4 x - x ^{3}}

f (x) = \frac{1}{2 x - 1}

\frac{x - 2}{3}

\frac{x}{8 x - 7}

f (x) = \frac{1}{( 1 - x + 5 )}

What is the domain of f(x)=(sqrt(x+5))/(x-2) ?
The domain of f(x)=(sqrt(x+5))/(x-2) is -5<= x<2\lor x>2