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

The domain of f(x)=sqrt(3-3(x-4)) is x<= 5

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domain of f(x)=sqrt(3-3(x-4))

domain

f (x) = 3 - 3 (x - 4)

x \leq 5

Interval Notation

(- \infty, 5]

Solution steps

Find non-negative values for radicals:

x \leq 5

The function domain

x \leq 5

f (x) = x^{4} - 2 x^{3} + x^{2} + 12 x + 8

f (x) = 5 x^{2} ln (\frac{x}{2})

f (x) = \frac{( ln ( cos ( x ) ) )}{x}

x^{2} + 14 x + 43

f (x) = 3 x - 15

What is the domain of f(x)=sqrt(3-3(x-4)) ?
The domain of f(x)=sqrt(3-3(x-4)) is x<= 5