What is the domain of f(x)=(x^2+x-20)/(x^2-14x+48) ?

The domain of f(x)=(x^2+x-20)/(x^2-14x+48) is x 8

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domain of f(x)=(x^2+x-20)/(x^2-14x+48)

domain

f (x) = \frac{x ^{2} + x - 20}{x ^{2} - 14 x + 48}

x < 6 or 6 < x < 8 or x > 8

Interval Notation

(- \infty, 6) \cup (6, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = 6

The function domain

x < 6 or 6 < x < 8 or x > 8

\frac{2}{x + 7}

f (x) = lo g_{\frac{1}{2}} (lo g_{2} (x - 3))

\frac{x - 2}{x ^{2} - 2 x}

\frac{x - 4}{x ^{2} + 5 x - 36}

f (x) = \frac{- 9 x - 6}{x - 2}

What is the domain of f(x)=(x^2+x-20)/(x^2-14x+48) ?
The domain of f(x)=(x^2+x-20)/(x^2-14x+48) is x<6\lor 6<x<8\lor x>8