Consider the quadratic function

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

f(x)=3x^{2}-6x+2

. (a) Find the coordinates of its vertex. (b) Determine the smallest interval that contains

x=3

on which

f

is one–to–one. (c) For the domain found in part (b), obtain the explicit expression of

f^{-1}