Question

state with reason whether the function h : { 2,3,4,5 } -> { 7,9,11,13 } has inverse with h = { ( 2,7 ) , ( 3,9 ) , ( 4,11 ) , ( 5,13 ) }​

Answer 1

Answer:

∴Function h is one-one. Also, h is onto since for every element y of the set {7, 9, 11, 13}, there exists an element x in the set {2, 3, 4, 5}such that h(x) = y. Thus, h is a one-one and onto function. Hence, h has an inverse.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

∴Function h is one-one. Also, h is onto since for every element y of the set {7, 9, 11, 13}, there exists an element x in the set {2, 3, 4, 5}such that h(x) = y. Thus, h is a one-one and onto function. Hence, h has an inverse.