What is the domain of (x+5)/(4x-2) ?

The domain of (x+5)/(4x-2) is x 1/2

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domain of (x+5)/(4x-2)

domain

\frac{x + 5}{4 x - 2}

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}

\frac{y}{3 y ^{2} + 17 y + 10}

f (x) = 11

f (x) = - \frac{5}{x}

f (x) = 10 x e^{- 5 x}

3 x^{4} - 4 x^{3} - 12 x^{2}

What is the domain of (x+5)/(4x-2) ?
The domain of (x+5)/(4x-2) is x< 1/2 \lor x> 1/2