1. Let
p(x) = 1 - 1/x
What is p^6 (-1/2) ?
2. Let
f(x) = (x-1)(x-3)(x+5)+72
Find the sum of all values of x such that f(x) = 72
3. Let f(x) = 3x + 2 and g(x) = x^2 - 5x - 1
Fine f(g(x)). Enter your answer as an expression
4. The function f (x) satisfies
for all x ≥ 1, x ≠ 0.
What is the value of f (2)?
5. Suppose a(x) = 3x — 7 and b(x) = 2 — x^3.
What is the value of a(b(3)) — b(a(3))?
6. Let f (x) = 2x + 7 and g(x) = 3x + c
Find c if f(g(x)) = g(f (x)) for all x.
7. Let f (x) = (3√x) + 7. Define g to be the inverse of f.
What is the value of g(g(f(f(f(36)))))?
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