Q. 5 B3.7( 23 Votes )

# State with reason

Answer :

It is given that g : {5, 6, 7, 8} → {1, 2, 3, 4} with

g = {(5, 4), (6, 3), (7, 4), (8, 2)}

**Necessary Condition for a function to have inverse: Function should be one-one and onto.**

From the given definition,

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

g(5) = g(7) = 4**[As at two points function have same values, the function is not one-one]**

i.e. g is not one- one.

**Therefore, function g does not have an inverse.**

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