What is the domain of f(x)=(6x)/(5x-8) ?

The domain of f(x)=(6x)/(5x-8) is x 8/5

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domain of f(x)=(6x)/(5x-8)

domain

f (x) = \frac{6 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}

17 x (x - 1)^{3}

y = - \frac{3}{4} x + 2

f (x) = - 5 x + 20

y = x^{2} - 2 x - 3

(2, - 6), (4, 10)

What is the domain of f(x)=(6x)/(5x-8) ?
The domain of f(x)=(6x)/(5x-8) is x< 8/5 \lor x> 8/5