What is the domain of f(x)=(x-2)/(x^2+6x-16) ?

The domain of f(x)=(x-2)/(x^2+6x-16) is x 2

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domain of f(x)=(x-2)/(x^2+6x-16)

domain

f (x) = \frac{x - 2}{x ^{2} + 6 x - 16}

x < - 8 or - 8 < x < 2 or x > 2

Interval Notation

(- \infty, - 8) \cup (- 8, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 8

The function domain

x < - 8 or - 8 < x < 2 or x > 2

f (x) = - 4 + 3 x - 12

\frac{1}{2} x^{2} e^{x + 1}

f (x) = \frac{3}{4 - x ^{2}}

f (y) = y - 4

\frac{2 x}{4 - 7 x}

What is the domain of f(x)=(x-2)/(x^2+6x-16) ?
The domain of f(x)=(x-2)/(x^2+6x-16) is x<-8\lor-8<x<2\lor x>2