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

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

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

domain

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

x < \frac{3}{5} or x > \frac{3}{5}

Interval Notation

(- \infty, \frac{3}{5}) \cup (\frac{3}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{5}

The function domain

x < \frac{3}{5} or x > \frac{3}{5}

\frac{x ^{5}}{x ^{2} - 1}

(- 5, - 2), (- 8, - 5)

\frac{1}{5} x - 3

f (x) = x - 12

f (x) = \frac{4 x}{x ^{2} + 3 x - 10}

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