# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2016 | May-Jun | (P1-9709/12) | Q#1

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**Question**

Functions and are defined by

,

,,

Solve the equation

**Solution**

First we find left hand side of required equation .

We are given;

It can be written as;

Therefore;

Now we find right hand side of required equation .

We are given;

These can be written as;

Therefore;

Now for substitute ;

Finally, equating left and right hand sides of the required equation;

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