5. (a) Let f Z→ Z, f(x) = 3x + 7. Show that f has no inverse. : (b) Let g RR, g(x) = 3x+7. Find the inverse of g.

Let f(æ) = (x + 3)². Find the inverse of f restricted to[- 3, 0). f(x) =

Consider the function f(x) = ax/(x − b)2. Determine the effect on the graph of f as a and b are changed. Consider cases where a and b are both positive or both negative and cases where a and b have opposite signs.