9.) True or False: a.) If f is a continuous onetoone function dened on an interval, then f_1 is also a continuous function. b.) If f is dened on an interval and f '(x) > 0 for each x, then f is a one-to-one function. e.) Let f be a function with the property: the equation f(x1) = f (x2) can be solved to show that x1 = x2 . Then f is a one-to-one mction. 12x 3x+1 10.) Letf(x) = . What is the domain off? 12x 3x+1 11.) Find a formula for the inverse of the function f (x) = . What is the domain of f_1? The domain of f _1 is the same as 12.) What is the difference between f_l(b) and L 9 re) ' The rst refers to the value of the inverse function to f at x. So for a one- to-one function f, f 4(5)) = a means that f (a) = b. The second is the reciprocal of the number f(b) 13.) Let f be a one-to-one differentiable function with f (7) = 10, f '(7) = 3 . Is this enough information to compute any of (f _l)'(3), (f _1)'(7),( f _1)'(10) ? If so, write down the answers