What is the domain of f(x)= 4/(3+x) ?

The domain of f(x)= 4/(3+x) is x -3

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domain of f(x)= 4/(3+x)

domain

f (x) = \frac{4}{3 + x}

x < - 3 or x > - 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

d o main \frac{1}{x ^{3} + 4 x}

r an g e y = \frac{x}{x ^{2} + x - 6}

in f l ec t i o n f (x) = x^{3} - 6 x^{2} - 36 x

in t erce pt s f (x) = y^{2} - x - 25 = 0

in v erse f (x) = 4 x + 16

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