Answer :
We have
Let us simplify it,
⇒ 
⇒ 
⇒ f(x) = x …(i)
To show, f(a) + f(b) = f(a + b)
Take LHS: f(a) + f(b)
Just replace x by a in equation (i),
f(a) = a
Now, replace x by b in equation (i),
f(b) = b
LHS: f(a) + f(b)
⇒ f(a) + f(b) = a + b …(ii)
Now, Put (a + b) in equation (i),
f(a + b) = a + b
Replace (a + b) in equation (ii) from f(a + b), we get
f(a) + f(b) = f(a + b)
Thus, shown that f(a) + f(b) = f(a + b).
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