SOLUTION: HELP!! Please!! Missed lecture and nothing makes sense. The following apply for the listed problems...let f(x)=x+5; let g(x)=X^2-2; let h(x)=-3x 1. ((f)*(g))*x I tried to writ

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Question 60874: HELP!! Please!! Missed lecture and nothing makes sense. The following apply for the listed problems...let f(x)=x+5; let g(x)=X^2-2; let h(x)=-3x
1. ((f)*(g))*x
I tried to write this and got and then looked for a gun. I don't know where to go. Are we solving for x or simplifying?
2. h(h(5))
3. g(h(-1))
4. (f*(4)) + (g*(6))
Thanks so much in advance!

Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
Let f(x)=x+5; let g(x)=X^2-2; let h(x)=-3x
1. ((f)*(g))(x) <---I think this is what you meant.




:
2. h(h(5))
First find h(5)


h(h(5))=h(-15)
Now substitute that value into the h function.
h(h(5))=-3(-15)
h(h(5))=45
:
3. g(h(-1))
h(-1)=-3(-1)
h(-1)=3
g(h(-1))=g(3) Substitute 3 into the g function.

g(h(-1))=9-2
g(h(-1))=7
:
4. (f(4)) + (g(6))

(4+5)+(36-2)
9+34
43
:
Happy Calculating!!!

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