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

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

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

domain

\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) = ln (8 x - 4)

\frac{x + 6}{5 - x}

ln (5 x - 9)

f (x) = \frac{- 2 x ^{2}}{( x - 2 ) ( x + 7 )}

f (x) = 6 x + 14 - x^{2} - 4

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