What is the domain of f(x)=(3x^2+9)/(2x^2-16) ?

The domain of f(x)=(3x^2+9)/(2x^2-16) is x 2sqrt(2)

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domain of f(x)=(3x^2+9)/(2x^2-16)

domain

f (x) = \frac{3 x ^{2} + 9}{2 x ^{2} - 16}

x < - 22 or - 22 < x < 22 or x > 22

Interval Notation

(- \infty, - 22) \cup (- 22, 22) \cup (22, \infty)

Solution steps

Find undefined (singularity) points:

x = 22, x = - 22

The function domain

x < - 22 or - 22 < x < 22 or x > 22

f (x) = \frac{ln ( x + 5 )}{ln ( 2 )} + 3

f (x) = x - 3 + 5

\frac{x - 16}{2 ( x - 8 ) x - 8}

y = - 5 x + 2

f (x) = 3 x^{2} + 4

What is the domain of f(x)=(3x^2+9)/(2x^2-16) ?
The domain of f(x)=(3x^2+9)/(2x^2-16) is x<-2sqrt(2)\lor-2sqrt(2)<x<2sqrt(2)\lor x>2sqrt(2)