In this exercise you will show that if a linear function has an inverse, then the inverse function is also linear. Let f(x) = mx+ b, where m and b are constants, with m not does not eqaul 0.
a) Show f^-1 exists. Hint: show f is one to one.
b) Find formula for f^-1(x)
c) Explain why f^-1 is linear. In particular, what are the slope and y-intercept of the graph of y= f^-1(x)?
d) Wat happens when m=0?