Answer:
Yes
Step-by-step explanation:
For the equation to be equivalence then it must be
Reflexive, Symmetric and transitive
since |A|=|B|;
Every element in A is in B then R is reflexive
If f(1) = g(1), then g(1) = f(1), so R is symmetric.
If f(1) = g(1) and g(1) = h(1), then f(1) = h(1), so R is transitive.
R is reflexive, symmetric, and transitive,
thus R is an equivalence relation.
