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

lo g_{2} (5 - x)

ln (ln (ln (x)))

f (x) = \frac{1}{( ( 2 x - 9 ) ( x + 1 ) )}

f (x) = 7 - 4 x

- x^{2} + 2 x + 1

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