If the function f:(-∞,-1] →(a, b] defined by f(x)=e^(x³-3 x+1) is one - one and onto, then the distance of the point P(2 b+4, a+2) from the line x+e⁻³ y=4 is:

Limit, Continuity and Differentiability: JEE Main 2024 Mathematics question

JEE Main 2024 · 31 Jan, Evening shift · Q2732

JEE Main 202431 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the function

f:(-\infty,-1] \rightarrow(a, b]

defined by

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

is one - one and onto, then the distance of the point

P(2 b+4, a+2)

from the line

x+e^{-3} y=4

is :