What is the domain of f(x)=(8x+5)/(2-5x) ?

The domain of f(x)=(8x+5)/(2-5x) is x 2/5

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domain of f(x)=(8x+5)/(2-5x)

domain

f (x) = \frac{8 x + 5}{2 - 5 x}

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}

f (x) = \frac{8 x + 5}{4 x + 2}

f (x) = lo g_{2} (2 x - \frac{1}{2})

g (x) = x^{2} - 4 x

f (x) = 6 x^{2} + 500 x + 8000

f (x) = lo g_{2} (\frac{2}{3} x - 4)

What is the domain of f(x)=(8x+5)/(2-5x) ?
The domain of f(x)=(8x+5)/(2-5x) is x< 2/5 \lor x> 2/5