1. Let f(x)=3x+2 and g(x)=x^2 -5x-1. Find f(g(x)).
2. Let f(x)=3x^2 -4x. Find the constant k such that f(x)=f(k-x) for all real numbers x.
We are putting g into f
3 ( x^2 - 5x - 1) + 2 =
3x^2 -15x - 3 + 2 =
3x^2 - 15x - 1