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

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

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

domain

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

x < - 5 or - 5 < x \leq 5

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x < - 5 or - 5 < x \leq 5

f (x) = \frac{x ^{2} - 9}{4 x ^{2}}, x > 0

2 x = 10 - 3 y

f (x) = 16 x^{2}

2 x + 5 y = 4

f (x) = \frac{2 + ( x + 6 ) ^{2}}{3 - x}

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