What is the domain of f(x)=(2x-8)/(x^2-9x+20) ?

The domain of f(x)=(2x-8)/(x^2-9x+20) is x 5

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domain of f(x)=(2x-8)/(x^2-9x+20)

domain

f (x) = \frac{2 x - 8}{x ^{2} - 9 x + 20}

x < 4 or 4 < x < 5 or x > 5

Interval Notation

(- \infty, 4) \cup (4, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 4

The function domain

x < 4 or 4 < x < 5 or x > 5

f (x) = \frac{( 5 x - 2 )}{3 x + 6}

f (x) = 4 x - 3

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

f (x) = e^{- 7 x}

\frac{m - 4}{7 + m}

What is the domain of f(x)=(2x-8)/(x^2-9x+20) ?
The domain of f(x)=(2x-8)/(x^2-9x+20) is x<4\lor 4<x<5\lor x>5