composition of functions problem

[sully039]

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]

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]

Thanks, I got the answer. Your explanation really helped.