What is the domain of f(x)=(4x^2+23x-56)/(x^2-4x-32) ?

The domain of f(x)=(4x^2+23x-56)/(x^2-4x-32) is x 8

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domain of f(x)=(4x^2+23x-56)/(x^2-4x-32)

domain

f (x) = \frac{4 x ^{2} + 23 x - 56}{x ^{2} - 4 x - 32}

x < - 4 or - 4 < x < 8 or x > 8

Interval Notation

(- \infty, - 4) \cup (- 4, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 4

The function domain

x < - 4 or - 4 < x < 8 or x > 8

y = \frac{5}{x ^{2} + x - 12}

U (d) = - 0.33 d^{2} + 7 d + 30, d > 0

x^{2} + 4 x + 9

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

f (x) = \frac{x ^{2} + 2 x - 8}{x ^{44}}

What is the domain of f(x)=(4x^2+23x-56)/(x^2-4x-32) ?
The domain of f(x)=(4x^2+23x-56)/(x^2-4x-32) is x<-4\lor-4<x<8\lor x>8