Combinations of Functions

Combinations of Functions:

All of these are Arithmetic combinations of functions

Let f(x) =2x+3
let g(x) =

Creating new functions - examples

(f+g)(x) =f(x)+g(x)

=2x+3+

(f-g)(x) =f(x)-g(x)

= (2x+3)-( )

= -+2x+3

(fg)(x) =f(x)*g(x)

= (2x+3)( )

= 2+3

(f/g)(x)= ------> don’t forget to find the domain after dividing!

Remember-denominator cannot be zero!

= (2x+3)/( )