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

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

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

domain

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

x < - \frac{2}{5} or x > - \frac{2}{5}

Interval Notation

(- \infty, - \frac{2}{5}) \cup (- \frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{5}

The function domain

x < - \frac{2}{5} or x > - \frac{2}{5}

\frac{5 ( x ^{2} - 1 )}{x ^{2} - 4}

f (x) = \frac{x ^{3} + 4 x ^{2} - 2}{x ^{2} - 9}

x^{3} - 5

f (x) = 6 x^{4} + 32 x^{3}

f (x) = 5 x^{5}

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