What is the domain of g(x)=(5x)/(x^2-32) ?

The domain of g(x)=(5x)/(x^2-32) is x 4sqrt(2)

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domain of g(x)=(5x)/(x^2-32)

domain

g (x) = \frac{5 x}{x ^{2} - 32}

x < - 42 or - 42 < x < 42 or x > 42

Interval Notation

(- \infty, - 42) \cup (- 42, 42) \cup (42, \infty)

Solution steps

Find undefined (singularity) points:

x = 42, x = - 42

The function domain

x < - 42 or - 42 < x < 42 or x > 42

f (x) = 4 x - 6, x = 1

g (x) = 4 x^{2} + 3 x - 2

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

x^{3} + 9 x^{2} - 20 x

f (x) = 2 (2 x - 5) + 3

What is the domain of g(x)=(5x)/(x^2-32) ?
The domain of g(x)=(5x)/(x^2-32) is x<-4sqrt(2)\lor-4sqrt(2)<x<4sqrt(2)\lor x>4sqrt(2)