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

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

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domain of (x-4)/(2x+1)

domain

\frac{x - 4}{2 x + 1}

x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

p (x) = x

2 cos (- 2 x)

f (x) = ln (\frac{2 x - 2}{9 - x ^{2}})

f (x) = \frac{- 5}{x ^{2} + 4} + 3

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