CPM Homework Help : CALC Problem 6-64

Let f(x) = e^x , so that f⁻¹ (x) = ln x. Write an expression that represents each of the expressions below, then simplify. Homework Help ✎
1. f(f⁻¹ x))
2. f ⁻¹(f(x))
3. f(f ^−l(3x))
4. f ^−l(f(3x))

Hint (a):

Do you remember the definition of inverse functions?
f(x) and g(x) are inverses if f(g(x)) = x...
Well, f(f⁻¹(x)) = e^ln^x = ______

Hint (b):

Refer to the hint in part (a).

Hint (c):

Refer to the hint in part (a).

Hint (d):

Let 3x = U.