What is the domain of f(x)=(x+5)/(1-2x) ?

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

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domain of f(x)=(x+5)/(1-2x)

domain

f (x) = \frac{x + 5}{1 - 2 x}

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) = 8 + 2 x - x^{2}

- 2^{x} + 3

f (x) = \frac{x + 4}{3 x + 9}

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

\frac{6 x - 1}{( x - 3 ) ( x + 1 )}

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