What is the domain of f(x)=(-2x+5)/(-3x+1) ?

The domain of f(x)=(-2x+5)/(-3x+1) is x 1/3

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domain of f(x)=(-2x+5)/(-3x+1)

domain

f (x) = \frac{- 2 x + 5}{- 3 x + 1}

x < \frac{1}{3} or x > \frac{1}{3}

Interval Notation

(- \infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{3}

The function domain

x < \frac{1}{3} or x > \frac{1}{3}

f (x) = 8 x - 1 + 5 x^{2}

- \frac{1}{2} x

1 + \frac{1}{x}

\frac{5 x - 3}{3 x + 2}

sin (x) + cos (x)

What is the domain of f(x)=(-2x+5)/(-3x+1) ?
The domain of f(x)=(-2x+5)/(-3x+1) is x< 1/3 \lor x> 1/3