COMPOSITE MAPPING AND INVERSE MAPPING

FURTHER MATHEMATICS SSS1 SECOND TERM

WEEK 7

COMPOSITE MAPPING AND INVERSE MAPPING

Content

COMPOSITE MAPPING:

A mapping is composite when the co-domain of the first mapping is the domain of the second mapping.

Consider the mapping f;X→ Z and g: Z→Y

SOLUTION:

1. F(-3) + F(4) = -5 + 9 = 4
2. F(2) + F(-5) =  5 +(-10) = -5
3. G[f(-3)] = g(-5) = -10
4.  G[f(-3)] + g[f(4)] = g(-5) + g(9) = -10 + 18 = 8

Example 2: The functions f and g on the set of real numbers are defined by f(x) = 3x-1 and g(x) = 5x+2 respectively. Find (a) F [g(x)] (b) g [f(x)] (c) 2f(x) – g(x)

SOLUTION:

(a) f[g(x)]  = f(5x+2),      5x+2 will…