What is the domain of f(x)=(-2-7x)/(3x-1) ?

The domain of f(x)=(-2-7x)/(3x-1) is x 1/3

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domain of f(x)=(-2-7x)/(3x-1)

domain

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

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

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

f (x) = 2 x^{3} + 3 x^{2} - 1

f (x) = \frac{1}{[ x + 3 ]}

f (x) = - x^{4} - 3 x^{3} + 8 x + 8

What is the domain of f(x)=(-2-7x)/(3x-1) ?
The domain of f(x)=(-2-7x)/(3x-1) is x< 1/3 \lor x> 1/3