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

The domain of f(x)=sqrt(-x+3)+3 is x<= 3

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domain of f(x)=sqrt(-x+3)+3

domain

f (x) = - x + 3 + 3

x \leq 3

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 3

The function domain

x \leq 3

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

f (x) = 3 \frac{2}{x + 5}

x - 1 \cdot x - 4

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

f (x) = \frac{x - 6}{x ^{2} - 4 x - 21}

What is the domain of f(x)=sqrt(-x+3)+3 ?
The domain of f(x)=sqrt(-x+3)+3 is x<= 3