Which one of the following is the necessary and sufficient condition for a real…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Which one of the following is the necessary and sufficient condition for a real function

f:A \to B

to possess an inverse function

f^{-1}:B \to A

? (a)

f

is one–one only (b)

f

is strictly monotonic (c)

f

is both one–one and onto (d)

f

is onto only