Question

# 7. (16 pts) Let f(x) = (5x - 9)/(3x - 7)

(a) Find *f *^{- 1 }, the inverse

function of *f*. **Show work**

(b) What is the domain of *f *? What is the domain of the inverse function?

(c) What is *f *(2) ? *f *(2) = ______ work/explanation optional

(d) What is *f *^{- 1}* *( ____ ), where the number in the blank is your answer from part (c)? work/explanation optional