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

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

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

domain

f (x) = \frac{2 x + 1}{2 x - 5}

x < \frac{5}{2} or x > \frac{5}{2}

Interval Notation

(- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{2}

The function domain

x < \frac{5}{2} or x > \frac{5}{2}

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