Composite Mapping and Inverse Mapping

COMPOSITE MAPPING:

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

READING ASSIGNMENT: Read Mapping, Further Mathematics Project 2, and page 32- 41.

WEEKEND ASSIGNMENT

      1.  Given f(x) = x² -1 and g(x) = 2x+3, determine the formula for gf(x)

             A. 2x² +4x+1      B. 2x² +1           C. x+1

      2.  Given g(x) = xⁿ and g (3) = 81, determine the value of n.

             A    -4                 B   27                  C 4

      3   Given that the image of x under the mapping f(x) → 3x +2 is -10. What is the value of x.

             A    -4                 B -28                   C 0

      4    If f is a function defined by f(x) = 2x-3, find ff.

             A. 4x-6               B 2x+3                C. 4x +6

                 THEORY

1.              Given the functions f(x) = 3x² –x+5, g(x) = 6x³ + 7×2+7x+15. Simplify, as far as possible, the expressions

                 (a) 3f(x) – g(x)              (b) f(x) g(x)        (c) g(x)/f(x)