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

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

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

domain

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

1 \leq x \leq 5

Interval Notation

[1, 5]

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 5

The function domain

1 \leq x \leq 5

- x^{2} + 2 - 3

\frac{5 x}{x + 3}

f (x) = x x + 1

y = 5 x - 10

f (x) = - x^{2} + 9

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