What is the domain of f(x)= x/(7x+36) ?

The domain of f(x)= x/(7x+36) is x -36/7

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domain of f(x)= x/(7x+36)

domain

f (x) = \frac{x}{7 x + 36}

x < - \frac{36}{7} or x > - \frac{36}{7}

Interval Notation

(- \infty, - \frac{36}{7}) \cup (- \frac{36}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{36}{7}

The function domain

x < - \frac{36}{7} or x > - \frac{36}{7}

\frac{( x ^{3} + 6 x ^{2} + 9 x )}{x + 3}

f (x) = x^{2} - 4 x + 5

(0, - 2), (4, 2)

f (x) = - x^{2} + 2 x - 4

ln (x^{2} - 9)

What is the domain of f(x)= x/(7x+36) ?
The domain of f(x)= x/(7x+36) is x<-36/7 \lor x>-36/7