Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Functions - Composites.
Test Yourself 1.


 

Forming a composite function.

 1. If f (x) = 2x and g (x) = x2 - 1

find f (x) + g (x) and f (x) g (x).

 2.
  3. 4.
  5.  
  7. If and g(x) = x2, find

(i) f (g(x));

(ii) g (f(x)).

Answer.(i) f(g(x)) = √(4 - x2.)
(ii) g (f(x)) = 4 - x.		 8.
  9. 10.
Evaluating a composite

11.

 

  
 

13.

 

 14.
Sketch.    
     
  19. 20.