What is the domain of f(x)=(1/(2-x))+(3/(x+4)) ?

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

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domain of f(x)=(1/(2-x))+(3/(x+4))

domain

f (x) = (\frac{1}{2 - x}) + (\frac{3}{x + 4})

x < - 4 or - 4 < x < 2 or x > 2

Interval Notation

(- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 4

The function domain

x < - 4 or - 4 < x < 2 or x > 2

(8, 6), (1, - 6)

x^{2} - 6 x - 1

\frac{5 x - 3}{2 x + 5}

f (x) = - x + 7

f (x) = t + 4

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