What is the domain of f(x)=(x^2-8x+15)/(x^2-7x+12) ?

The domain of f(x)=(x^2-8x+15)/(x^2-7x+12) is x 4

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domain of f(x)=(x^2-8x+15)/(x^2-7x+12)

domain

f (x) = \frac{x ^{2} - 8 x + 15}{x ^{2} - 7 x + 12}

x < 3 or 3 < x < 4 or x > 4

Interval Notation

(- \infty, 3) \cup (3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 3

The function domain

x < 3 or 3 < x < 4 or x > 4

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

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

f (x) = \frac{1}{- x ^{2} + 7 x}

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

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

What is the domain of f(x)=(x^2-8x+15)/(x^2-7x+12) ?
The domain of f(x)=(x^2-8x+15)/(x^2-7x+12) is x<3\lor 3<x<4\lor x>4