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

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

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

domain

f (x) = \frac{x + 8}{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) = 3 x ln (x) - 8 x, x > 0

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

- 2 x^{2} + 2

f (x) = 3 x^{3} + 7 x^{2} + 9 x + 12

f (x) = \frac{( 5 + x ^{4} )}{( x ^{2} - x ^{4} )}

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