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

The domain of f(x)=arccos(sqrt(x-3)) is 3<= x<= 4

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

domain

f (x) = arccos (x - 3)

3 \leq x \leq 4

Interval Notation

[3, 4]

Solution steps

Find known functions domain restrictions:

3 \leq x \leq 4

The function domain

3 \leq x \leq 4

3 + 16 - (x - 3)^{2}

f (x) = \frac{- 2 \cdot 0}{4} + e^{0} - 13

y = 5 x - 2

f (x) = - x^{2} - 2 x + 8

f (x) = - 3 y - 2

What is the domain of f(x)=arccos(sqrt(x-3)) ?
The domain of f(x)=arccos(sqrt(x-3)) is 3<= x<= 4