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.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116