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

The domain of f(x)=(8x^2-10x)/(x^2+2x-8) is x 2

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domain of f(x)=(8x^2-10x)/(x^2+2x-8)

domain

f (x) = \frac{8 x ^{2} - 10 x}{x ^{2} + 2 x - 8}

x < - 4 or - 4 < x < 2 or x > 2

Interval Notation

(- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 4

The function domain

x < - 4 or - 4 < x < 2 or x > 2

f (x) = (- 3 x + 5) + x + 4

y = \frac{2}{\frac{11}{x + 2} + 3}

f (x) = - 3, - 5 \leq x \leq 0

f (x) = 3 ln (6 x - 2)

f (x) = 4 x - 3 + 3

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