Question: 1. Let f(x) = x+5 and g(x) = x 2 - 1. Find (f g)(x) and (g f)(x). 2. For f(x) = |x5| and g(x)

1. Let f(x) = x+5 and g(x) = x 2 - 1. Find (f g)(x) and (g f)(x). 2. For f(x) = |x5| and g(x) = 2x + 1, find a. (f g)(1) b. (g g)(1) 3. Find the inverse of f(x) = 2 5x 4. Solve (3x - 1) 4 - 16 = 0. 5. Solve 5 x +1 = x - 1. Be sure to check for extraneous solutions. 6. Solve the equation x3+ x+2 = 5. Be sure to check for extraneous solutions. 7. Solve the equation 4 x3 = 16. 8. a. Rewrite log 3 81 = 4 as an exponential equation. b. Rewrite 10 -3 = 1 1000 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) Name: Date

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