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Q11 of 118 Page 3

If for non-zero x,, where a ≠ b, then find f(x).

Given x ≠ 0 and a ≠ b such that


..... (1)


Substituting in place of x, we get



.....-- (2)


On adding equations (1) and (2), we get






..... (3)


On subtracting equations (1) and (2), we get







..... (4)


On adding equations (3) and (4), we get












Thus,


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If, a > 0 and n ∈ N, then prove that f[f(x)] = x for all x.

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Questions · 118
3. Functions
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