What is the domain of f(x)=(5x+5)/(7x+21) ?

The domain of f(x)=(5x+5)/(7x+21) is x -3

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domain of f(x)=(5x+5)/(7x+21)

domain

f (x) = \frac{5 x + 5}{7 x + 21}

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

\frac{ln ( x ^{2} + 8 x + 15 )}{2 - x}

f (x) = \frac{2 x + 1}{x - 2}

- \frac{1}{2 ( 1 - x ) ^{\frac{5}{2}}}

3 x - 5 + 2 x + 1

f (x) = \frac{5 x + x ^{2}}{x ^{2} + x ^{3} - x + 1}

What is the domain of f(x)=(5x+5)/(7x+21) ?
The domain of f(x)=(5x+5)/(7x+21) is x<-3\lor x>-3