What is the domain of f(x)=(4x-1)/(5x+1) ?

The domain of f(x)=(4x-1)/(5x+1) is x -1/5

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domain of f(x)=(4x-1)/(5x+1)

domain

f (x) = \frac{4 x - 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}

7 + \frac{8}{x}

\frac{x - 6}{x ^{2} + 49}

f (x) = 2 x - 1 \cdot x - 3

6 - 3 x + x^{2} - 4

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

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