What is the domain of f(x)=(2x-5)/(6x-2) ?

The domain of f(x)=(2x-5)/(6x-2) is x 1/3

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domain of f(x)=(2x-5)/(6x-2)

domain

f (x) = \frac{2 x - 5}{6 x - 2}

x < \frac{1}{3} or x > \frac{1}{3}

Interval Notation

(- \infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

x < \frac{1}{3} or x > \frac{1}{3}

f (x) = lo g_{10} (x^{2} - 1)

f (x) = (x - 7) (x - 9)

f (x) = \frac{x}{x ^{4} - 1}

f (x) = 2 + x + 1

f (x) = \frac{x ^{4}}{x ^{2} - 11 x + 30}

What is the domain of f(x)=(2x-5)/(6x-2) ?
The domain of f(x)=(2x-5)/(6x-2) is x< 1/3 \lor x> 1/3