What is the domain of (4x)/(5x-8) ?

The domain of (4x)/(5x-8) is x 8/5

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domain of (4x)/(5x-8)

domain

\frac{4 x}{5 x - 8}

x < \frac{8}{5} or x > \frac{8}{5}

Interval Notation

(- \infty, \frac{8}{5}) \cup (\frac{8}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{8}{5}

The function domain

x < \frac{8}{5} or x > \frac{8}{5}

- x^{2} + 2 x + 3

f (x) = lo g_{5} (x^{2} + 1)

g (x) = \frac{x - 2}{x ^{2} + 4 x + 4}

+ arcsin (2 x)

6 x + 7

What is the domain of (4x)/(5x-8) ?
The domain of (4x)/(5x-8) is x< 8/5 \lor x> 8/5