What is the domain of f(x)=(x^2-7x+10)/(6x+1) ?

The domain of f(x)=(x^2-7x+10)/(6x+1) is x -1/6

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domain of f(x)=(x^2-7x+10)/(6x+1)

domain

x < - \frac{1}{6} or x > - \frac{1}{6}

Interval Notation

(- \infty, - \frac{1}{6}) \cup (- \frac{1}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{6}

The function domain

x < - \frac{1}{6} or x > - \frac{1}{6}

What is the domain of f(x)=(x^2-7x+10)/(6x+1) ?
The domain of f(x)=(x^2-7x+10)/(6x+1) is x<-1/6 \lor x>-1/6