What is the domain of f(x)=(x(x+8))/(9(x-5)) ?

The domain of f(x)=(x(x+8))/(9(x-5)) is x 5

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domain of f(x)=(x(x+8))/(9(x-5))

domain

f (x) = \frac{x ( x + 8 )}{9 ( x - 5 )}

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

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

\frac{5 x - 7}{x + 8}

\frac{x ^{2} - 9}{4 x + 8}

\frac{x + 2}{x ^{2}}

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

What is the domain of f(x)=(x(x+8))/(9(x-5)) ?
The domain of f(x)=(x(x+8))/(9(x-5)) is x<5\lor x>5