# 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

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;