What is the domain of y=((-4x-2))/((2x-1)) ?

The domain of y=((-4x-2))/((2x-1)) is x 1/2

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domain of y=((-4x-2))/((2x-1))

domain

y = \frac{( - 4 x - 2 )}{( 2 x - 1 )}

x < \frac{1}{2} or x > \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}

The function domain

x < \frac{1}{2} or x > \frac{1}{2}

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

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

x^{2} + x + 1 - x^{2} - x - 12 + 2

f (x) = \frac{1}{2} (x^{3} - 3 x + 7)

\frac{11250 + 180 x ^{3}}{x}

What is the domain of y=((-4x-2))/((2x-1)) ?
The domain of y=((-4x-2))/((2x-1)) is x< 1/2 \lor x> 1/2