Х- а
x-b
If f(x) = b. x-a÷b-a + a. x-b÷a - b
Prove that: f (a) + f(b) = f (a + b)​

Given:

Consider the given function:

To prove:

Solution:

We have,

Substituting , we get

Substituting , we get

Substituting , we get

Using the algebraic formula, we get

              [Commutative property of addition]

Now,

Hence proved.

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