What is the domain of g(x)=(x+3)/(2x-1) ?

The domain of g(x)=(x+3)/(2x-1) is x 1/2

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domain of g(x)=(x+3)/(2x-1)

domain

g (x) = \frac{x + 3}{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}

f (x) = - 5 x^{2}

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

y = \frac{1}{x ^{2} - 5}

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

- cos (2 x)

What is the domain of g(x)=(x+3)/(2x-1) ?
The domain of g(x)=(x+3)/(2x-1) is x< 1/2 \lor x> 1/2