Got a calculus question i need some help with

Question

anonymous · Answer

attachment

anonymous · Answer

here is it, so far i got..
$$g(x) = 55$$
$$f(g) = f(55) = 10$$

anonymous · Answer

where do i go from here? i think im supposed to find the slope of the lines?

tkhunny · Answer

You will need the Chain Rule, I think.

$\dfrac{d}{dx}f(g(x)) = f'(g(x))\cdot g'(x)$.  That should be easier.

anonymous · Answer

hmm alright let me take a look with that in mind

anonymous · Answer

so i do need to find the slope of the lines correct?

anonymous · Answer

ooh im doing #55 btw

tkhunny · Answer

Right.  You should be able to calculate the slope from the appearance of the graph.

anonymous · Answer

slope for left graph: 1/4
slope for right graph: -1/2
sound right to you?

anonymous · Answer

actually switch that around

anonymous · Answer

left -1/2 and right 1/4

tkhunny · Answer

There are 4 slopes - two for each graph.  Make sure you know where you hit it.

anonymous · Answer

oh goodness, 2 ea? my teacher definitely never told us that

anonymous · Answer

ok so slopes are:
f(x): -2 and 1
g(x): 1/2 and 0

anonymous · Answer

@tkhunny  mind checking these? and helping me figure the next step?

tkhunny · Answer

Notation Check:
f'(x): -2 and 1
g'(x): 1/2 and 0

Now, go get 'em.


gtg sorry.

anonymous · Answer

@ganeshie8  hey any chance youd have some time to help me work this problem? i mean other people tried but i just dont understand what im really supposed to be doing..

ganeshie8 · Answer

f(x) has two lines  :  

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