What is the domain of f(x)=(x-5)/(2x+1) ?

The domain of f(x)=(x-5)/(2x+1) is x -1/2

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domain of f(x)=(x-5)/(2x+1)

domain

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

y = 2 x - 7

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

- lo g_{2} (3 (x - 2)) + 4

f (x) = \frac{8 x ^{2} - 10 x - 3}{2 x ^{2} - 9 x + 9}

What is the domain of f(x)=(x-5)/(2x+1) ?
The domain of f(x)=(x-5)/(2x+1) is x<-1/2 \lor x>-1/2