What is the domain of (x^2-25)/(6x+1) ?

The domain of (x^2-25)/(6x+1) is x -1/6

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domain of (x^2-25)/(6x+1)

domain

\frac{x ^{2} - 25}{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}

f (x) = lo g_{10} (3 - x)

lo g_{x} (25 - x^{2})

\frac{1}{2} x - \frac{6}{x}

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

f (x) = \frac{1}{2} lo g_{10} (3 x)

What is the domain of (x^2-25)/(6x+1) ?
The domain of (x^2-25)/(6x+1) is x<-1/6 \lor x>-1/6