What is the domain of f(x)=(x^2-81)/(x+9) ?

The domain of f(x)=(x^2-81)/(x+9) is x -9

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domain of f(x)=(x^2-81)/(x+9)

domain

f (x) = \frac{x ^{2} - 81}{x + 9}

x < - 9 or x > - 9

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 9

The function domain

x < - 9 or x > - 9

f (x) = (\frac{x}{4 - x}) e^{x}

f (x) = lo g_{2} (8) + 2

f (x) = lo g_{5} (4 x + 1)

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

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

What is the domain of f(x)=(x^2-81)/(x+9) ?
The domain of f(x)=(x^2-81)/(x+9) is x<-9\lor x>-9