What is the domain of f(x)=((x-3))/((x+5)) ?

The domain of f(x)=((x-3))/((x+5)) is x -5

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domain of f(x)=((x-3))/((x+5))

domain

f (x) = \frac{( x - 3 )}{( x + 5 )}

x < - 5 or x > - 5

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 5

The function domain

x < - 5 or x > - 5

f (x) = 2 - 3 x^{2} + 7 x, - 4 \leq x \leq 8

\frac{x ^{3} - 2 x ^{2} - 3 x}{x ^{2} - 4}

x + \frac{4}{x}

\frac{x ^{2} - 9 x + 20}{4 x ^{2} - 12 x - 40}

y = cos (x)

What is the domain of f(x)=((x-3))/((x+5)) ?
The domain of f(x)=((x-3))/((x+5)) is x<-5\lor x>-5