- #1
Raghav Gupta
- 1,011
- 76
Homework Statement
1. Range of the function ## \sqrt {x^2+x+1} ## is equal to?
2.ƒ:R---->R is defined as ƒ(x) = x2 -3x +4, then f -1 (2) is equal to?
Homework Equations
NA
The Attempt at a Solution
For the first one tried squaring on both the sides but that does not give linear x in terms of y for finding the range.
For second one, I can directly substitute f(x) as 2 for getting the answer.
But I have a confusion that a function must be injective and surjective for the inverse otherwise it inverse must not exist.