What is the domain of f(n)=(5n^2-245)/(7n^2+112n+441) ?

The domain of f(n)=(5n^2-245)/(7n^2+112n+441) is n -7

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domain of f(n)=(5n^2-245)/(7n^2+112n+441)

domain

f (n) = \frac{5 n ^{2} - 245}{7 n ^{2} + 112 n + 441}

n < - 9 or - 9 < n < - 7 or n > - 7

Interval Notation

(- \infty, - 9) \cup (- 9, - 7) \cup (- 7, \infty)

Solution steps

Find undefined (singularity) points:

n = - 7, n = - 9

The function domain

n < - 9 or - 9 < n < - 7 or n > - 7

f^{2} - 21 f = 0

(6.626 \cdot 1 0^{- 34}) (3 \cdot 1 0^{8})

6 x - 4 + 2 (5 x + 2) = 16 x

x \leq 6 - 2 x^{2}

12 x - 4 > 7 + 11

What is the domain of f(n)=(5n^2-245)/(7n^2+112n+441) ?
The domain of f(n)=(5n^2-245)/(7n^2+112n+441) is n<-9\lor-9<n<-7\lor n>-7