What is the domain of f(x)=(x^2-1)/(5x-1) ?

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

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domain of f(x)=(x^2-1)/(5x-1)

domain

f (x) = \frac{x ^{2} - 1}{5 x - 1}

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) = \frac{1000 + 600 x}{10 + 0.6 x}

\frac{1}{x ^{2} - 3 x}

f (x) = \frac{x ^{3} + 1}{x}

x^{4} - 256

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