What is the domain of f(x)=(x-1)/(3x-5) ?

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

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domain of f(x)=(x-1)/(3x-5)

domain

f (x) = \frac{x - 1}{3 x - 5}

x < \frac{5}{3} or x > \frac{5}{3}

Interval Notation

(- \infty, \frac{5}{3}) \cup (\frac{5}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{3}

The function domain

x < \frac{5}{3} or x > \frac{5}{3}

f (x) = - 8 x + 4

f (x) = \frac{t}{t ^{2} - 81}

\frac{x + 3}{x - 5}

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

\frac{2 x + 3}{3 x ^{2} + 7 x - 6}

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