What is the domain of f(x)= 3/((x^2+3x-40)) ?

The domain of f(x)= 3/((x^2+3x-40)) is x 5

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domain of f(x)= 3/((x^2+3x-40))

domain

f (x) = \frac{3}{( x ^{2} + 3 x - 40 )}

x < - 8 or - 8 < x < 5 or x > 5

Interval Notation

(- \infty, - 8) \cup (- 8, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 8

The function domain

x < - 8 or - 8 < x < 5 or x > 5

y = x^{2} - 10 x

4 x - 5 y = 20

y = - 13 x + b

\frac{4}{3} π x^{3}

y = \frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

What is the domain of f(x)= 3/((x^2+3x-40)) ?
The domain of f(x)= 3/((x^2+3x-40)) is x<-8\lor-8<x<5\lor x>5