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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)))))? 

 Mar 12, 2022
 #1
avatar+13581 
+1

What is p^6 (-1/2) ?

 

Hello Guest!

 

\(p(x)=1-\dfrac{1}{x}\\ \ \\ -\dfrac{1}{2}p^6=-\dfrac{1}{2}(1-\dfrac{1}{x})^6=\color{blue}-\dfrac{(x-1)^6}{2x^6}\)

laugh  !

 Mar 12, 2022
 #2
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THANK YOUUU

Guest Mar 17, 2022

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