What is the domain of f(x)=(5-2x)/(4x-1) ?

The domain of f(x)=(5-2x)/(4x-1) is x 1/4

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domain of f(x)=(5-2x)/(4x-1)

domain

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

- 2 x^{2} + 14 x - 7

f (x) = - \frac{7}{( 3 + x ) ^{2}}

- ∣ x + 4 ∣ - x

- 3 sin (2 x) - 4

\frac{x - 4}{x - 8}

What is the domain of f(x)=(5-2x)/(4x-1) ?
The domain of f(x)=(5-2x)/(4x-1) is x< 1/4 \lor x> 1/4