Mathematics

EXERCISE 1.3

1. Function f and gf are given as f (x) = x+1/2 and gf (x) = 3x + 2 respectively. Find function g.


2. Given f (x) = 5 − 3x and g(x) = 4x . Find function fg.


3. Given gf (x) = x − 6 and g(x) = 4x − 3. Find
   (i) function f
   (ii) function fg


4. Given the function w(x) = 3 − 2x and
   v x = x² −1 , find the functions
   (a) wv
   (b) vw

(a) state the value of k
(b) find

(i) wv(x)
(ii) vw(x)

1.4 INVERSE FUNCTIONS :

Example 1 :

 

1.4.1 Determining the inverse function :

Example 1:

 

CBSE Mathematics Class XI ( By Mr. Ayaz Khan )
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