What is the domain of f(x)=(-11x+1)/(-30x^2-25x+5) ?

The domain of f(x)=(-11x+1)/(-30x^2-25x+5) is x 1/6

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domain of f(x)=(-11x+1)/(-30x^2-25x+5)

domain

f (x) = \frac{- 11 x + 1}{- 30 x ^{2} - 25 x + 5}

x < - 1 or - 1 < x < \frac{1}{6} or x > \frac{1}{6}

Interval Notation

(- \infty, - 1) \cup (- 1, \frac{1}{6}) \cup (\frac{1}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = \frac{1}{6}

The function domain

x < - 1 or - 1 < x < \frac{1}{6} or x > \frac{1}{6}

(4, - 3), (0, 1)

f (x) = 4 x + 2 ln (3)

f (x) = x^{2} - 4 x^{3}

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

\frac{x}{x ^{2} + x - 6}

What is the domain of f(x)=(-11x+1)/(-30x^2-25x+5) ?
The domain of f(x)=(-11x+1)/(-30x^2-25x+5) is x<-1\lor-1<x< 1/6 \lor x> 1/6