Let f(x)=3 √(x-2)+√(4-x) be a real valued function. If α and β are respectively the minimum and the maximum values of f, then α²+2 β² is equal to

Limit, Continuity and Differentiability: JEE Main 2024 Mathematics question

JEE Main 2024 · 4 Apr, Evening shift · Q2686

JEE Main 20244 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=3 \sqrt{x-2}+\sqrt{4-x}

be a real valued function. If

\alpha

and

\beta

are respectively the minimum and the maximum values of

f

, then

\alpha^2+2 \beta^2

is equal to