What is the domain of f(p)=(p-3)/(p^2+4p-21) ?

The domain of f(p)=(p-3)/(p^2+4p-21) is p 3

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domain of f(p)=(p-3)/(p^2+4p-21)

domain

f (p) = \frac{p - 3}{p ^{2} + 4 p - 21}

p < - 7 or - 7 < p < 3 or p > 3

Interval Notation

(- \infty, - 7) \cup (- 7, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

p = 3, p = - 7

The function domain

p < - 7 or - 7 < p < 3 or p > 3

What is the domain of f(p)=(p-3)/(p^2+4p-21) ?
The domain of f(p)=(p-3)/(p^2+4p-21) is p<-7\lor-7<p<3\lor p>3