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

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

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

domain

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

- 5 \leq x < 5 or x > 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 5 \leq x < 5 or x > 5

x + 6

f (x) = x^{2} + y^{2} = 25 x^{2} + y^{2} = 25

f (x) = \frac{4 x}{( 3 x ^{2} + 1 ) ^{2}}

f (x) = \frac{x}{x ^{2} + 1}

f (x) = \frac{x - 4}{x ^{2} + 10 x + 21}

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