What is the domain of f(x)=(x^2-5)/(x-5) ?

The domain of f(x)=(x^2-5)/(x-5) is x 5

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domain of f(x)=(x^2-5)/(x-5)

domain

f (x) = \frac{x ^{2} - 5}{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{( - 2 x + 23 )}{( 5 x - 19 )}

g (x) = x^{3} - 9 x^{2} + 15 x + 2

\frac{- 2 x - 8}{5 x + 20}

f (x) = x^{4} - 128 x^{2}

x^{3} - 5 x

What is the domain of f(x)=(x^2-5)/(x-5) ?
The domain of f(x)=(x^2-5)/(x-5) is x<5\lor x>5