Problem 386 (difficulty: 2/10)
Show that the following functions are injective on the given set \(\displaystyle H\), and calculate the inverse.
(1) \(\displaystyle f(x)=3x-7, \ H=\R\); (2) \(\displaystyle f(x)=x^{2}+3x-6, \ H=[-3/2,\infty)\).