**Question 4:**It is given the functions

*g*(

*x*) = 3

*x*and

*h*(

*x*) =

*m*–

*nx*, where

*m*and

*n*are constants.

Express

*m*in terms of

*n*such that

*hg*(1) = 4.

*Solution*:$\begin{array}{l}hg\left(x\right)=h\left(3x\right)\\ \text{}=m-n\left(3x\right)\\ \text{}=m-3nx\\ \\ hg\left(1\right)=4\\ m-3n\left(1\right)=4\\ m-3n=4\\ m=4+3n\end{array}$

**Question 5:**

Diagram below shows the relation between set

*M*and set

*N*in the graph form.

State

(a) the range of the relation,

(b) the type of the relation between set

*M*and set

*N*.

**(a) Range of the relation = {**

*Solution*:*p*,

*r*,

*s*}.

**(b) Type of the relation between set**

*M*and set

*N*is many to one relation.

**Question 6:**

Diagram below shows the relation between set

*P*and set

*Q.*

State

(a) the object of 3,

(b) the range of the relation.

**(a) The object of 3 is 7.**

*Solution*:(b) The range of the relation is {–3, –1, 1, 3}.