# 1.6 Function, SPM Practice (Long Question)

Question 5:
In diagram below, the function g maps set P to set Q and the function h maps set Q to set R.

Find
(a) in terms of x, the function
(i) which maps set Q to set P,
(ii) h(x).
(b) the value of x such that gh(x) = 8x + 1.

Solution:
(a)(i)

(a)(ii)

(b)

### 2 thoughts on “1.6 Function, SPM Practice (Long Question)”

1. (a)(1)
g-1(x)= x-2 over 3

• Thanks for pointing out our mistake, correction had been made accordingly.