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

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

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

domain

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

- 3 \leq x < 3 or x > 3

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 3 \leq x < 3 or x > 3

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

f (x) = 3 + 8 + x

m = \frac{9}{2}

f (x) = - x^{3} + 9 x^{2} - 54

f (x) = \frac{( x ^{3} - 64 )}{( x ^{2} - 9 x + 20 )}

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