What is the domain of f(x)=(4x+1)/(x+2) ?

The domain of f(x)=(4x+1)/(x+2) is x -2

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domain of f(x)=(4x+1)/(x+2)

domain

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

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

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

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

6 t^{2} + 500 t + 8000

f (x) = - 2 x (x - 2) (x - 5)

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

What is the domain of f(x)=(4x+1)/(x+2) ?
The domain of f(x)=(4x+1)/(x+2) is x<-2\lor x>-2