If \(f(x)= 2x-3\), \(g(x) = -x+2\), and \(h(x)=x^2+3x+2\)
Find the new functions. Then for #1 only, graph the original two functions and the new function on the same graph using a graphing calculator or an online graphing tool or DESMOS.
1) \(f(x) \cdot g(x)\)
2) \(f(x)+g(x)\)
3) \(f(x)+h(x)\)
4) \(f(x)-h(x)\)
5) \(g(x)+h(x)\)
6) \(f(x)+g(x)+h(x)\)
7) \(f(x) \cdot g(x)-h(x)\)