What is the domain of (4+x)/(1-4x) ?

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

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domain of (4+x)/(1-4x)

domain

\frac{4 + x}{1 - 4 x}

x < \frac{1}{4} or x > \frac{1}{4}

Interval Notation

(- \infty, \frac{1}{4}) \cup (\frac{1}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{4}

The function domain

x < \frac{1}{4} or x > \frac{1}{4}

\frac{x ^{3}}{x ^{2} - 1}

y = x^{\frac{9}{2}} - 6 x^{2}

f (x) = \frac{9 x}{x ( x ^{2} - 49 )}

- 1 + 2 sin (x + \frac{π}{3})

2 x - 1

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