What is the domain of f(x)=(3x+1)/(x+5) ?

The domain of f(x)=(3x+1)/(x+5) is x -5

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domain of f(x)=(3x+1)/(x+5)

domain

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

4 (x - 7)^{2} + 3

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

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

\frac{4 x}{x + 3}

\frac{1}{3} (x - 5)

What is the domain of f(x)=(3x+1)/(x+5) ?
The domain of f(x)=(3x+1)/(x+5) is x<-5\lor x>-5