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Example 6

If f (x) = 16x - log 2 x find f

Solution :

If f (x) = 16x - log2x

\ f = =

=

= 2 - ( -2) log2 2

= 2 + 2 (1) [ since. log a a = 1]

= 4

Example 7

If y = f (x) = show that x = f(y)

Solution :

y = f (x) =

Þ f (y) =

Putting y = we get

\ f (y) =

\ f (y) = = x \ x = f (y)


Example 8

If f (x) = find f { f [f(x)] }

Solution :

f (x) =

f [ f(x) ] =

\ f [ f(x) ] =

and

f { f [f(x)] } =

\ f { f [f(x)] } = x

 

 

Index

Introduction

1.1 Functions And Mapping
1.2 Functions, Their Graphs and Classification
1.3 Rules for Drawing the Graph of a Curve
1.4 Classification of Functions
1.5 Standard Forms for the equation of a straight line
1.6 Circular Function and Trigonometry

Chapter 2





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