What is the domain of (x^2-1)/(4x-5) ?

The domain of (x^2-1)/(4x-5) is x 5/4

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domain of (x^2-1)/(4x-5)

domain

\frac{x ^{2} - 1}{4 x - 5}

x < \frac{5}{4} or x > \frac{5}{4}

Interval Notation

(- \infty, \frac{5}{4}) \cup (\frac{5}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{5}{4}

The function domain

x < \frac{5}{4} or x > \frac{5}{4}

f (x) = \frac{x + 3}{x ^{2} - 3 x - 10}

4^{x} - 5

4 (\frac{1}{2})^{x}

y^{2} (5 y + 3) (y - 6) > 0

f (x) = \frac{x - 2}{x ^{3}}

What is the domain of (x^2-1)/(4x-5) ?
The domain of (x^2-1)/(4x-5) is x< 5/4 \lor x> 5/4