Question

Please help!! Medal will be awarded

Answer 1

Consider the function
f:A→B
defined by
f(x)=(x−1)^2+4

a) Given that
A={x∈R/x≥a}
, state te smallest value of a for which f is injective.
b) State the range of f for the domain given in part a)
c) Define the set B so that f is injective
d) Find the inverse function
f−1
of f and state it's domain and range