What is the domain of g(x)=sqrt(2-x) ?

The domain of g(x)=sqrt(2-x) is x<= 2

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domain of g(x)=sqrt(2-x)

domain

g (x) = 2 - x

x \leq 2

Interval Notation

(- \infty, 2]

Solution steps

Find non-negative values for radicals:

x \leq 2

The function domain

x \leq 2

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

f (x) = 4 tan (\frac{θ}{4}) + 3

x^{2} - 49

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

f (x) = (2 x + 1)^{3}