What is the domain of f(x)= 1/(x^2+3x-28) ?

The domain of f(x)= 1/(x^2+3x-28) is x 4

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domain of f(x)= 1/(x^2+3x-28)

domain

f (x) = \frac{1}{x ^{2} + 3 x - 28}

x < - 7 or - 7 < x < 4 or x > 4

Interval Notation

(- \infty, - 7) \cup (- 7, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 7

The function domain

x < - 7 or - 7 < x < 4 or x > 4

y = x - 3, (- 2, 1)

f (x) = \frac{x ^{2}}{x ^{2} + 1}

f (x) = x^{2} + 5 x - 14

f (x) = \frac{1}{( x - 3 )}

y + 6 = \frac{1}{3} (x - 4)

What is the domain of f(x)= 1/(x^2+3x-28) ?
The domain of f(x)= 1/(x^2+3x-28) is x<-7\lor-7<x<4\lor x>4