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

The domain of f(x)=-sqrt(3-x)+1 is x<= 3

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domain of f(x)=-sqrt(3-x)+1

domain

f (x) = - 3 - x + 1

x \leq 3

Interval Notation

(- \infty, 3]

Solution steps

Find non-negative values for radicals:

x \leq 3

The function domain

x \leq 3

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

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

arccos (e^{x - 1}) + π

arctan^{x} (x)

f (x) = ∣ x ∣ + 12

What is the domain of f(x)=-sqrt(3-x)+1 ?
The domain of f(x)=-sqrt(3-x)+1 is x<= 3