Math Problem Solver

Question 1 (20 M)

Consider the function f: R – {1} → R, given by f(x) = 7x -3/( x -1)

i) Sketch a graph of the function (5M)

ii) By vertical line test and horizontal line test f(x) is a function and injective. Show that it is

surjective. (Use the definition of surjective) (5M)

iii) What is the image of f? (5M)

iv) Find d which is real such that the function f: R – {1} → R – {d} is bijective and construct the

inverse function of f (5M)