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

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

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

domain

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

x < 4 or x > 4

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

g (x) = \frac{2 x ^{3}}{3 x ^{2} - 4}

f (x) = 18 + 6 x

y = x^{2} + 4

y = x^{2} - x - 2

f (x) = 2 x^{2} + 8 x - 3

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