What is the domain of f(x)=(x^2+1)/(x-4) ?

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

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domain of f(x)=(x^2+1)/(x-4)

domain

f (x) = \frac{x ^{2} + 1}{x - 4}

x < 4 or x > 4

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

\frac{x + 5}{x - 5}

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

y = 3 cos (2 x)

f (x) = \frac{- 3}{x ^{2} - 2 x - 35}

\frac{5 x ^{2}}{x ^{2} - 4}

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