What is the domain of f(x)=sqrt(-x^2+3x) ?

The domain of f(x)=sqrt(-x^2+3x) is 0<= x<= 3

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domain of f(x)=sqrt(-x^2+3x)

domain

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

0 \leq x \leq 3

Interval Notation

[0, 3]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 3

The function domain

0 \leq x \leq 3

5 x - 10

g (x) = e^{x^{2} - 3}

f (x) = 180000 - 30

4^{x} + 1

What is the domain of f(x)=sqrt(-x^2+3x) ?
The domain of f(x)=sqrt(-x^2+3x) is 0<= x<= 3