SOLUTION: Let f(x)=x^2-2. Let g(x)=-x^2-5x-6 Find (g(f(f(f(f(f(1))))))) This is a bonus question for the next chapter and I have no clue how to do it. Can someone please help me?

Algebra ->  Trigonometry-basics -> SOLUTION: Let f(x)=x^2-2. Let g(x)=-x^2-5x-6 Find (g(f(f(f(f(f(1))))))) This is a bonus question for the next chapter and I have no clue how to do it. Can someone please help me?       Log On


   

Question 981309: Let f(x)=x^2-2.
Let g(x)=-x^2-5x-6
Find (g(f(f(f(f(f(1)))))))

This is a bonus question for the next chapter and I have no clue how to do it. Can someone please help me?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let f%28x%29=x%5E2-2
Let g%28x%29=-x%5E2-5x-6+
Find %28g%28f%28f%28f%28f%28f%281%29%29%29%29%29%29%29....first find f%281%29
f%281%29=1%5E2-2=-1
%28g%28f%28f%28f%28f%28-1%29%29%29%29%29%29...........now find f%28-1%29
f%28-1%29=%28-1%29%5E2-2=-1
%28g%28f%28f%28f%28-1%29%29%29%29%29...since f%28-1%29=-1
%28g%28f%28f%28-1%29%29%29%29...and again
%28g%28f%28-1%29%29%29..and again
%28g%28-1%29%29....now find %28g%28-1%29%29

g%28-1%29=-%28-1%29%5E2-5%28-1%29-6+
g%28-1%29=-1%2B5-6+
g%28-1%29=-7%2B5+
g%28-1%29=-2