Let . You wish to restrict its domain so that the resulting function is one–one and…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

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

. You wish to restrict its domain so that the resulting function is one–one and the numbers

2

and

5

both remain in the domain. Which one of the following intervals achieves this? (a)

(-\infty,5]

(b)

[2,\infty)

(c)

(2,\infty)

(d)

(-\infty,2]