What is the domain of ((7x+1)5x)/(10x-2) ?

The domain of ((7x+1)5x)/(10x-2) is x 1/5

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domain of ((7x+1)5x)/(10x-2)

domain

\frac{( 7 x + 1 ) 5 x}{10 x - 2}

x < \frac{1}{5} or x > \frac{1}{5}

Interval Notation

(- \infty, \frac{1}{5}) \cup (\frac{1}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{5}

The function domain

x < \frac{1}{5} or x > \frac{1}{5}

ln (x - 1)

\frac{1}{( x - 3 ) ( x - 5 )}

+ 500 x - 10 x^{2}

f (x) = \frac{sin ^{2} ( x ) - 1}{cos ( 2 x )}

f (x) = ln (x^{2}) - ln (2 x + 8)

What is the domain of ((7x+1)5x)/(10x-2) ?
The domain of ((7x+1)5x)/(10x-2) is x< 1/5 \lor x> 1/5