Show that the following pairs of sets S and T are equinumerous by finding a specific bijection between the two sets in each pair.
a. S= [0,1] and T = [1,3]
b. S= [0,1] and T = [0, infinity]
Think geometrically. Length of is and length of is . Thus, strech to . Now shift this interval by one to the right this gives .
Now the streching can be desribed by function by . And the shifting can be described by by . Thus, is what you are looking for. Finally is the mapping you want.