Example 2 :
The function f is defined by f : x → 3− 4x . Find f -1(-5)
EXERCISE 1.4
1. Given f (x) = 5 − 3x and g(x) = 4x . Find
(i) the value of f -1(-4)
(ii) the value of (gf) -1(-4)
2. Given g(x) = 5 − 3x and gf -1(x) 4x Find function f.
3. Given gf (x) = x − 6 and g(x) = 4x − 3. Find
(i) (gf) -1
(ii) the value of fg(2)
(a) find the function f -1
(b) state the value of x such that f -1 does not exist.
5. Show that the function f : x → x/x-1, x#1 has an inverse function that maps onto its self.
6. If h : x → x − 2 , find the value of p given that h-1(p) = 8