What is the domain of f(x)=(5x+2)/(20x^2-11x-3) ?

The domain of f(x)=(5x+2)/(20x^2-11x-3) is x 3/4

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domain of f(x)=(5x+2)/(20x^2-11x-3)

domain

f (x) = \frac{5 x + 2}{20 x ^{2} - 11 x - 3}

x < - \frac{1}{5} or - \frac{1}{5} < x < \frac{3}{4} or x > \frac{3}{4}

Interval Notation

(- \infty, - \frac{1}{5}) \cup (- \frac{1}{5}, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{4}, x = - \frac{1}{5}

The function domain

x < - \frac{1}{5} or - \frac{1}{5} < x < \frac{3}{4} or x > \frac{3}{4}

f (x) = x^{2} - 4 x + 7

f (x) = 3 e^{x}

x^{2} - 8

f (x) = 4^{x + 7}

\frac{4}{x ^{2}}

What is the domain of f(x)=(5x+2)/(20x^2-11x-3) ?
The domain of f(x)=(5x+2)/(20x^2-11x-3) is x<-1/5 \lor-1/5 <x< 3/4 \lor x> 3/4