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

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

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

domain

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

x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}

The function domain

x < - \frac{1}{2} or x > - \frac{1}{2}

f (x) = \frac{x ^{2} - 8}{x - 4}

f (x) = arcsin (\frac{∣ 2 x - 4 ∣ - 1}{3 x - 5}) arctan (x^{2} - 1)

\frac{2 x - 1}{x}

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

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