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

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

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

domain

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

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

w \cdot 4

f (x) = lo g_{5} (7 + x)

f (x) = ln (x + 3) + 1

f (x) = \frac{\frac{1}{7 - x}}{\frac{5}{x + 4}}

g (x) = ln (24 - 3 x^{2} + 6 x)

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