Reference no: EM131703373

Note the contrapositive of the definition of one-to-one function given on page 141 of the text is: If a ≠ b then f(a) ≠ f(b). As we know, the contrapositive is equivalent to (another way of saying) the definition of one-to-one. (a) Consider the following function f: R→ R defined by f(x) = x^2 + 6 . Use the contrapositive of the definition of one-to-one function to determine (no proof necessary) whether f is a one-to-one function. Explain (b) Compute f o f. (c) Let g be the function g: R → R defined by g(x) = x^3 + 5. Find g^-1. Use the definition of g ^-1 to explain why your solution, g ^-1 is really the inverse of g.