Composition and Transformations of Functions

Math 115 (Huffman)

Composition and Transformations of Functions

 

Let f(x)=x^2+1 and g(x)=x-1. 

1.  Find (f∘g)(x)

 

 

 

2.  Find (g∘f)(x)

 

 

 

Let f(x)=x^3 and g(x)=x^2+2x

3.  Find (f∘g)(2)

 

 

 

4.  Find (g∘f)(1)

 

 

 

Let f(x)=x^2-m^2-n^2 and g(x)=m-n

5.  Find (f∘g)(x)