What is the domain of f(x)=(3x^2-18x+24)/(x^2-4x) ?

The domain of f(x)=(3x^2-18x+24)/(x^2-4x) is x 4

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domain of f(x)=(3x^2-18x+24)/(x^2-4x)

domain

f (x) = \frac{3 x ^{2} - 18 x + 24}{x ^{2} - 4 x}

x < 0 or 0 < x < 4 or x > 4

Solution steps

Find undefined (singularity) points:

x = 4, x = 0

The function domain

x < 0 or 0 < x < 4 or x > 4

f (x) = \frac{x ^{2} - 36}{x ^{3} - 36 x}

f (x) = \frac{3 x - 5}{7 x + 2}

f (x) = 2 x

\frac{x + 10}{x - 11}

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

What is the domain of f(x)=(3x^2-18x+24)/(x^2-4x) ?
The domain of f(x)=(3x^2-18x+24)/(x^2-4x) is x<0\lor 0<x<4\lor x>4