What is the domain of f(x)=(x-4)/(x^2+8x-20) ?

The domain of f(x)=(x-4)/(x^2+8x-20) is x 2

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domain of f(x)=(x-4)/(x^2+8x-20)

domain

f (x) = \frac{x - 4}{x ^{2} + 8 x - 20}

x < - 10 or - 10 < x < 2 or x > 2

Interval Notation

(- \infty, - 10) \cup (- 10, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 10

The function domain

x < - 10 or - 10 < x < 2 or x > 2

\frac{3 x ^{2} - 11 x - 4}{x - 4}

lo g_{10} (∣ 4 x + 8 ∣)

\frac{x + 11}{x - 2}

g (x) = \frac{x + 1}{2 x + 1}

f (x) = \frac{x}{10 + x}

What is the domain of f(x)=(x-4)/(x^2+8x-20) ?
The domain of f(x)=(x-4)/(x^2+8x-20) is x<-10\lor-10<x<2\lor x>2