Answer
Anwer is given below
Work Step by Step
We simply solve the equation y = ax + b for x. This gives x = (y - b) /a, which is well-defined since a i- 0.
Thus the inverse is 1-1 (y) = (y-b)/a. To check that our work is correct, we must show that f of- 1 (y) = y for
all y E R and that 1-1 o f(x) = x for all x E R. Both of these are straightforward algebraic manipulations.
For the first, we have f o 1-1 (y) = J(f-1 (y)) = J((y- b)/a) = a((y- b)/a) + b = y. The second is similar.
