What is the domain of (2x+3)/(1-5x) ?

The domain of (2x+3)/(1-5x) is x 1/5

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domain of (2x+3)/(1-5x)

domain

\frac{2 x + 3}{1 - 5 x}

x < \frac{1}{5} or x > \frac{1}{5}

Interval Notation

(- \infty, \frac{1}{5}) \cup (\frac{1}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{5}

The function domain

x < \frac{1}{5} or x > \frac{1}{5}

f (x) = - x + 1 - 4

f (x) = x^{2} + 9 x + 18

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

f (x) = \frac{3 x}{x - 10}

\frac{3 x + 3}{x ^{2} - 49}

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