What is the domain of f(x)= 3/(2x-5) ?

The domain of f(x)= 3/(2x-5) is x 5/2

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domain of f(x)= 3/(2x-5)

domain

f (x) = \frac{3}{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}

2 + x - 1

\frac{2}{x}

f (x) = x \cdot 35 + 5

3 sin (π x)

f (x) = - 2 x^{2} - 4 x - 1

What is the domain of f(x)= 3/(2x-5) ?
The domain of f(x)= 3/(2x-5) is x< 5/2 \lor x> 5/2