Question 1
Which of the following functions is/are one-to-one?
(a)

, (b) 1 - x
2, (c) x
2 sgn(x), (d) cos(x) on [0, π], (e) sin(x) on [0, π].
◦ only (c) and (d)
◦ only (c) and (e)
◦ only (d)
◦ only (a) and (b)
◦ none of the above
Question 2
Find the inverse of the function f(x) = 3x
5 + 7.
◦

◦ 3 x
1/5 - 7
◦
1/5◦
1/5◦

x
1/5 - 7