What is the domain of f(x)=(6x+5)/(5x-2) ?

The domain of f(x)=(6x+5)/(5x-2) is x 2/5

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domain of f(x)=(6x+5)/(5x-2)

domain

f (x) = \frac{6 x + 5}{5 x - 2}

x < \frac{2}{5} or x > \frac{2}{5}

Interval Notation

(- \infty, \frac{2}{5}) \cup (\frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{5}

The function domain

x < \frac{2}{5} or x > \frac{2}{5}

(- 1, - 4), (4, - 1)

y = - x^{2} - 8 x - 12

(- 2, 4), (- 2, - 4)

x + 3 y = 9

f (x) = 2 - 3 x

What is the domain of f(x)=(6x+5)/(5x-2) ?
The domain of f(x)=(6x+5)/(5x-2) is x< 2/5 \lor x> 2/5