English | Español

Try our Free Online Math Solver!

Online Math Solver

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


Functions: Composition-Solutions

Compute:

.

Answer

Answer

Answer

4. Write as a composition of two functions :

Answer Let and let g(x) = x + 1. Then

Answer Let and let g(x) = x2 + 2x. Then

(c) 27x3

Answer Let f(x) = 3x and let g(x) = x3. Then

Answer Let and let g(x) = 2x + 2. Then

5. Write as a composition of three functions:

Answer Let . Then

Answer Let . Then

Answer Let . Then

We say that a function f(x) is the inverse of a function g(x) if

6. Verify that the given functions are inverses of each other.

Answer

Since f(g(x)) = x = g(f(x)) the functions f(x) and g(x) are indeed inverses of
one another

Answer

Therefore, , as desired.

Answer

Clearly, by the same calculation and therefore
as desired.

Prev Next