What is the domain of y=(-3x^2)/(x^2+4x-77) ?

The domain of y=(-3x^2)/(x^2+4x-77) is x 7

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domain of y=(-3x^2)/(x^2+4x-77)

domain

y = \frac{- 3 x ^{2}}{x ^{2} + 4 x - 77}

x < - 11 or - 11 < x < 7 or x > 7

Interval Notation

(- \infty, - 11) \cup (- 11, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 11

The function domain

x < - 11 or - 11 < x < 7 or x > 7

4 - 7 x

24 x - 2328

f (x) = 6 x^{2} - 1

f (x) = 1 - x^{3}

(cos (x))^{2} - 1

What is the domain of y=(-3x^2)/(x^2+4x-77) ?
The domain of y=(-3x^2)/(x^2+4x-77) is x<-11\lor-11<x<7\lor x>7