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

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

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

domain

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

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}

f (x) = ln (5 - x) + lo g_{10} (x + 2)

ln (12 - 5 x^{2})

f (x) = - 2 x^{2} + 5 x - 3

5 cot (8 x) + 3

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