What is the domain of h(x)=(x^2-8x+15)/(x^2-10x+21) ?

The domain of h(x)=(x^2-8x+15)/(x^2-10x+21) is x 7

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domain of h(x)=(x^2-8x+15)/(x^2-10x+21)

domain

h (x) = \frac{x ^{2} - 8 x + 15}{x ^{2} - 10 x + 21}

x < 3 or 3 < x < 7 or x > 7

Interval Notation

(- \infty, 3) \cup (3, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 3

The function domain

x < 3 or 3 < x < 7 or x > 7

What is the domain of h(x)=(x^2-8x+15)/(x^2-10x+21) ?
The domain of h(x)=(x^2-8x+15)/(x^2-10x+21) is x<3\lor 3<x<7\lor x>7