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

The domain of f(x)=(x^4)/(x^2+x-56) is x 7

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

domain

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

x < - 8 or - 8 < x < 7 or x > 7

Interval Notation

(- \infty, - 8) \cup (- 8, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 8

The function domain

x < - 8 or - 8 < x < 7 or x > 7

y - 10 = 12 (x - 6)

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

y = 2 e^{x} + 1

y = x + 3

\frac{x + 4}{4 x ^{2} - 8 x - 12}

What is the domain of f(x)=(x^4)/(x^2+x-56) ?
The domain of f(x)=(x^4)/(x^2+x-56) is x<-8\lor-8<x<7\lor x>7