Q. 5 A3.8( 17 Votes )

# State with reason whether following functions have inversef : {1, 2, 3, 4} → {10} withf = {(1, 10), (2, 10), (3, 10), (4, 10)}

It is given that f : {1, 2, 3, 4} → {10} with

f = {(1, 10), (2, 10), (3, 10), (4, 10)}

From the given definition of f,

We can see that f is a many one function as:

f(1) = f(2) = f(3) = f(4) = 10

therefore, f is not one-one.

Therefore, function f does not have an inverse.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Functions - 0152 mins
Different kind of mappings58 mins
Functions - 0648 mins
Functions - 1156 mins
Quick Revision of Types of Relations59 mins
Range of Functions58 mins
Some standard real functions61 mins
Functions - 0947 mins
Quick Recap lecture of important graphs & functions58 mins
Range of Quadratic/quadratic & linear/Linear functions45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses