16. Let X and Y be subsets of R, th...
Question

# 16. Let X and Y be subsets of R, the set of all real numbers. The function f.X - Y defined by f(x)= x XEX is one-one but not onto if (Here R* is the set for of all positive real numbers) (a) X=Y=R* (6) X= R.Y=R* (c) X = R',Y= R (d) X = Y=R

JEE/Engineering Exams
Maths
Solution
196
4.0 (1 ratings)
( (x)=x^{2} ) enco of ( f(x,)=fleft(x_{2}right) ) ( frac{x^{2}}{x^{2}-x_{2}^{2}}=x_{2}^{2} ) ( left(x_{i}-x_{2}right)^{infty}left(x_{1}+x_{2}right)=0 ) ( frac{00}{x_{1} leq x_{2}} ) Hem is one one 8 ( f(x)=y ) ( x^{2}=8 ) ( x=pm sqrt{y} ) ( 60 quad x=sqrt{y} ) ( x=y=R^{+} )