What is the domain of f(x)=(3x+5)/(x^2+3x-28) ?

The domain of f(x)=(3x+5)/(x^2+3x-28) is x 4

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domain of f(x)=(3x+5)/(x^2+3x-28)

domain

f (x) = \frac{3 x + 5}{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

f (x) = x^{2} + 7

- x + 1

\frac{x + 2}{5}

f (x) = \frac{x - 2}{x ^{2} - 2 x - 35}

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

What is the domain of f(x)=(3x+5)/(x^2+3x-28) ?
The domain of f(x)=(3x+5)/(x^2+3x-28) is x<-7\lor-7<x<4\lor x>4