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

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

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

domain

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

x < 2 or x > 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

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

2 x ln (x) + x

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

- \frac{7}{( 2 + x ) ^{2}}

2 cos (x) - 2 x

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