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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{5}

The function domain

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

f (x) = ln (x^{2} - 5)

f (x) = 2 sin (2 x)

f (x) = x^{2} - 20 x + 104

f (x) = \frac{2 x + 2}{x ^{2} + 3 x - 40}

y = ∣ x + 3 ∣

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