Question

Let `f(x)= -4x+3` and `g(x)= 1/(x+2)`, how do you evaluate f(g(x)) and g(f(x)) for x?

Answer 1

Redefine the equations as follows:

`g(f(x))=1/(f(x)+2)=1/(5-4x)`

`f(g(x))=-4g(x)+3=3-4/(x+2)`

You can then evaluate the new functions using these definitions.