What is the domain of (x-7)/(3x-5) ?

The domain of (x-7)/(3x-5) is x 5/3

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domain of (x-7)/(3x-5)

domain

\frac{x - 7}{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}

y = \frac{2}{∣ x ∣ - 2}

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

y = 3 x

f (x) = \frac{4}{x} + 2

f (x) = x^{3} - 12 x + 6

What is the domain of (x-7)/(3x-5) ?
The domain of (x-7)/(3x-5) is x< 5/3 \lor x> 5/3