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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2, x = 2

The function domain

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

f (x) = \frac{( 1 + x )}{e ^{c o s (x)}}

(x - 1) (2 x + 1) (x - 3) (x + 4)

y = 2 (x + 5) - 2

- \frac{3 x + 3}{2}

\frac{1}{x - 2} + 3

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