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

f (x) = \frac{x ^{2} - 7 x + 10}{6 x + 1}

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}

\frac{2 x + 3}{x + 3}

f (x) = 2 + 3 x

- \frac{1}{3} - \frac{7}{3}

f (x) = x - 4 - 1

f (x) = lo g_{2} (x + 2) - 5

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