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

The domain of f(x)=sqrt(-x)+2 is x<= 0

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domain of f(x)=sqrt(-x)+2

domain

f (x) = - x + 2

x \leq 0

Interval Notation

(- \infty, 0]

Solution steps

Find non-negative values for radicals:

x \leq 0

The function domain

x \leq 0

f (x) = cos (x)

(- 5, - 6), (- 1, 4)

(3, 0), (6, 2)

f (x) = 3 x^{2} + 18 x - 4

f (x) = \frac{1}{x + 6}