Mathematics

Diana Mccoy

4 May, 11:00

1. If f (x) and g (x) are inverses of one another, which of the following must be true?

a) (f. f) (x) = x

b) (g. f) (x) = x

c) (f. f^-1) (x) = x

d) two of the above

e) all of the above

2. Given f (x) = 1/x-1 and g (x) = squaroot log (2x)

Determine (f. g) (x) and (f divide by g) (x)

State domain of each new function.