Evaluating Functions| Inverse and Composite Functions | x value: undefined | CXC CSEC| GCSE | SAT

Given that f:x → 3x - 1, g:x → 2x+5, h:x→ (2x+7)/(x+5) and k:x→ (7x+1)/(5x-1)
a. Determine:
i) the value of f(2)+ h(-3)
ii) the value of the composite function g h(-3)
iii) the value of the composite function f^2 (2)
iv) value of the composite function gf(2)
b. Write an expression for the inverse of f(x), i.e. f^(-1) (x)
c) Hence, determine the value of :
i) f^(-1) (1/2)
ii) f^(-1) (3/4)
d. Determine the value of x which makes the following functions undefine:
i) h(x)
ii) k(x)
e. Using the function f(x)= 3x-1, determine the values of a and b for the mapping diagram below