What is the domain of f(x)=sqrt(5-x+3\sqrt{x-1)} ?

The domain of f(x)=sqrt(5-x+3\sqrt{x-1)} is 1<= x<= 17

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domain of f(x)=sqrt(5-x+3\sqrt{x-1)}

domain

f (x) = 5 - x + 3 x - 1

1 \leq x \leq 17

Interval Notation

[1, 17]

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 17

The function domain

1 \leq x \leq 17

f (x) = ln (\frac{1}{x - 6})

y = 2 x + 3

f (x) = (\frac{4 x}{5 ( x - 2 ) ( x - 7 )})

f (x) = - 2 x^{2} + 3 x + 6

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

What is the domain of f(x)=sqrt(5-x+3\sqrt{x-1)} ?
The domain of f(x)=sqrt(5-x+3\sqrt{x-1)} is 1<= x<= 17