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

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

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

domain

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

f (x) = 9 - 7 x

(\frac{1}{4})^{2} - 4

f (x) = \frac{x}{x ^{2} - 25}

y = 2 x

f (x) = 2 x^{3} - 4

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