Related Functions

Related Functions

1. Functions

   • To find the range enter the domain into the equation
     • An arrow diagram matches the domain to the range

2. Composite functions

   • X to f(x) to g(f(x))
     • Example: f(x)=2x, g(x)=x+1 h(x)=g(f(x))=x+1(2x)
   • In general f(g(x)) does not = g(f(x))
   • backwards example: h(x)=(x-2)squared, h(x)=g(f(x)) so f(x)=x-2 and g(x)= x squared

3. Inverse function

   • for f(x) there will be f to the power of -1(x)
   • f(a)=b and f to the power of -1(b)=a
   • the range of f is the domain of the inverse