Question

If f : R → R be defined as f(x ) = 2x + 3, then f^–1(x) =

Answer 1

f(x)=y=2x+3

g(y)=x= (y+3)/2

....

g o f(x)= (2x+3-3)/2=x

Thus,

g o f(x)=I x

Similarly,

f o g(y)= I y.

..

Thus,f-¹(x)= x