What is the domain of f(x)= 7/(2x-1) ?

The domain of f(x)= 7/(2x-1) is x 1/2

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domain of f(x)= 7/(2x-1)

domain

f (x) = \frac{7}{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}

\frac{4}{1 - x}

3 x + 17

y = g (x) = 5 + 2 e^{x}

y = \frac{x - 1}{3 x ^{2} - 75}

\frac{x ^{2} - 9 x}{x ^{2} - 81}

What is the domain of f(x)= 7/(2x-1) ?
The domain of f(x)= 7/(2x-1) is x< 1/2 \lor x> 1/2