## composition of functions problem

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
sully039
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Joined: Mon Jul 25, 2011 8:33 pm
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### composition of functions problem

Given that the graph of y=f(x)---> http://imageshack.us/photo/my-images/825/img0305vg.jpg/ and the functions g(x)=2x+1, h(x)=-x+3 and k(x)=(g o f o h)(x), evaluate k(5).

I'm not sure how to solve this problem so it would help of someone explained how to do this in steps.
So far I have: k(x)=g(f(h(x)))
g(f(h(x)))=g(f(-x+3))
...but now I'm stuck since f(x) doesn't actually have an equation...only some points.

oh and the answer is suppossed to be 1 o.o

maggiemagnet
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Joined: Mon Dec 08, 2008 12:32 am
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### Re: composition of functions problem

Given that the graph of y=f(x)---> http://imageshack.us/photo/my-images/825/img0305vg.jpg/ and the functions g(x)=2x+1, h(x)=-x+3 and k(x)=(g o f o h)(x), evaluate k(5).

I'm not sure how to solve this problem so it would help of someone explained how to do this in steps.
You can get an "in steps" explanation in here. It shows how to work with "only some points", too! You've gotten to "k(5) = g(f(h(5)))". Now start plugging in. When x = 5, what is h(x)? That number is your new "x". Plug that into f(x). Looking at the graph, when x = (whatever h(5) is), what is f(x)? And so forth.

sully039
Posts: 16
Joined: Mon Jul 25, 2011 8:33 pm
Contact: