What is the domain of f(x)=(x+3)/(x^2-4x-21) ?

The domain of f(x)=(x+3)/(x^2-4x-21) is x 7

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domain of f(x)=(x+3)/(x^2-4x-21)

domain

f (x) = \frac{x + 3}{x ^{2} - 4 x - 21}

x < - 3 or - 3 < x < 7 or x > 7

Interval Notation

(- \infty, - 3) \cup (- 3, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 3

The function domain

x < - 3 or - 3 < x < 7 or x > 7

f (x) = 3 x - x^{2}

(- 6, - 13), (- 6.4, - 3.8)

f (x) = \frac{5 x + 1}{2 x - 5}

\frac{x}{x + 3}

- 0.1 t^{2} + 1.2 t + 98.8

What is the domain of f(x)=(x+3)/(x^2-4x-21) ?
The domain of f(x)=(x+3)/(x^2-4x-21) is x<-3\lor-3<x<7\lor x>7