What is the domain of f(x)=((3x-8))/((x^2-9x+20)) ?

The domain of f(x)=((3x-8))/((x^2-9x+20)) is x 5

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domain of f(x)=((3x-8))/((x^2-9x+20))

domain

f (x) = \frac{( 3 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

What is the domain of f(x)=((3x-8))/((x^2-9x+20)) ?
The domain of f(x)=((3x-8))/((x^2-9x+20)) is x<4\lor 4<x<5\lor x>5