What is the domain of (3x^2-1)/(2x+1)+x ?

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

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domain of (3x^2-1)/(2x+1)+x

domain

\frac{3 x ^{2} - 1}{2 x + 1} + x

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}{x - 3}

f (x) = \frac{1}{1 - lo g _{10} ( x )}

f (x) = x^{2} - 8 x + 21

x^{2} - 19

x^{10}

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