1. Let f(x) = and g(x) = x 2 – 1. Find (f g)(x) and (g f)(x).
2. For f(x) = and g(x) = 2x + 1, find
a. (f g)(1) b. (g g)(1)
3. Find the inverse of f(x) =
4. Solve (3x – 1) 4 – 16 = 0.
5. Solve = x – 1. Be sure to check for extraneous solutions.
6. Solve the equation = 5. Be sure to check for extraneous solutions.
7. Solve the equation = 16.
8. a. Rewrite log 3 81 = 4 as an exponential equation.
b. Rewrite 10 -3 = as a logarithmic equation.
9. Evaluate the following expressions:
a. log 13 1
b. ln e 8
c. log 27 27
d. log 9 27
10. Find the domain of the function f(x) = log 3 (2x – 1)
11. Solve the equation analytically.
5²=-2
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