Monday, 9 October 2017

FUNCTIONS 2


If F(x) = 4x + 16; Find F-1(x).

Solution

HINT: F-1(x) means inverse.

PROCEDURE:
Make x the subject and then interchange x and y variables.

Let y=F(x)

So,  y= 4x + 16

y – 16 = 4x

y – 16  = 4x
   4          4

y – 16   = x
   4

x  =   y – 16     after rearranging
           4


F-1(x) = x – 16    after interchanging x and y variables.
                4

Hence, F-1(x) = x – 16     
                              4


TRY THIS………………   


If F(x) = 11x + 30; Find F-1(x).


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