What is the domain of f(x)=(-5x^2)/((x-4)(x+3)) ?

The domain of f(x)=(-5x^2)/((x-4)(x+3)) is x 4

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domain of f(x)=(-5x^2)/((x-4)(x+3))

domain

f (x) = \frac{- 5 x ^{2}}{( x - 4 ) ( x + 3 )}

x < - 3 or - 3 < x < 4 or x > 4

Interval Notation

(- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 3

The function domain

x < - 3 or - 3 < x < 4 or x > 4

in v erse \frac{2 x - 3}{4}

r an g e x^{5}

l in e y = - x + 2

s l o p e in t erce pt x + 3 y = - 9

p er p e n d i c u l a r x - 6 y - 7

What is the domain of f(x)=(-5x^2)/((x-4)(x+3)) ?
The domain of f(x)=(-5x^2)/((x-4)(x+3)) is x<-3\lor-3<x<4\lor x>4