What is the domain of f(x)=(3x^2+4)/(x^2-9x+20) ?

The domain of f(x)=(3x^2+4)/(x^2-9x+20) is x 5

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domain of f(x)=(3x^2+4)/(x^2-9x+20)

domain

f (x) = \frac{3 x ^{2} + 4}{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{1}{2 + ln ( x )}

y = \frac{x ^{2} - 36}{x + 1}

g (x) = lo g_{3} (8 - 2 x) + 1

f (x) = \frac{2 x + 4}{24 - 8 x}

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

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