What is the domain of f(x)=(5x+3)/(4x-1) ?

The domain of f(x)=(5x+3)/(4x-1) is x 1/4

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domain of f(x)=(5x+3)/(4x-1)

domain

f (x) = \frac{5 x + 3}{4 x - 1}

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

- 2 cot (- 4 x + π)

f (x) = 5^{x - 2} + 8

f (x) = 3 - 3 x^{2}

2 x^{2} - 6

What is the domain of f(x)=(5x+3)/(4x-1) ?
The domain of f(x)=(5x+3)/(4x-1) is x< 1/4 \lor x> 1/4