What is the domain of f(x)=sqrt(-x^2+3x-1) ?

The domain of f(x)=sqrt(-x^2+3x-1) is (-sqrt(5)+3)/2 <= x<= (sqrt(5)+3)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=sqrt(-x^2+3x-1)

domain

f (x) = - x^{2} + 3 x - 1

\frac{- 5 + 3}{2} \leq x \leq \frac{5 + 3}{2}

Interval Notation

[\frac{- 5 + 3}{2}, \frac{5 + 3}{2}]

Solution steps

Find non-negative values for radicals:

\frac{- 5 + 3}{2} \leq x \leq \frac{5 + 3}{2}

The function domain

\frac{- 5 + 3}{2} \leq x \leq \frac{5 + 3}{2}

What is the domain of f(x)=sqrt(-x^2+3x-1) ?
The domain of f(x)=sqrt(-x^2+3x-1) is (-sqrt(5)+3)/2 <= x<= (sqrt(5)+3)/2