What is the domain of f(x)=(n+1)/(n^2-6n+8) ?

The domain of f(x)=(n+1)/(n^2-6n+8) is n 4

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domain of f(x)=(n+1)/(n^2-6n+8)

domain

f (x) = \frac{n + 1}{n ^{2} - 6 n + 8}

n < 2 or 2 < n < 4 or n > 4

Interval Notation

(- \infty, 2) \cup (2, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

n = 4, n = 2

The function domain

n < 2 or 2 < n < 4 or n > 4

\frac{x + 1}{x ^{2} - 5 x + 6}

f (s) = 2 - \frac{3}{s ^{2}}

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

f (x) = 2 x^{2} + 6

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

What is the domain of f(x)=(n+1)/(n^2-6n+8) ?
The domain of f(x)=(n+1)/(n^2-6n+8) is n<2\lor 2<n<4\lor n>4