Ace school

with brainly

  • Get help from millions of students
  • Learn from experts with step-by-step explanations
  • Level-up by helping others

A community for students.

Let w(x) = g(g(x)). Find: (a) w(1) (b) w(2) (c) w(3) somebody please help, I have no idea what to do.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SIGN UP FOR FREE
well, we need to know what g(x) is. were you given function of g?
@geerky42 one second going to post the image
|dw:1404857483770:dw|

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

These are the directions: In Problems 57–60, use Figure 3.17 and the chain rule to estimate the derivative, or state why the chain rule does not apply. The graph of f(x) has a sharp corner at x = 2.
If you have time , I could really use assistance on this question. @TuringTest
@tkhunny If you have time, I could really use assistance on this question
I think i figured out g(x) = -1x+4 f(x) is not continuous it has a breat at (0,2) therefore if i try to get the slope they are going to have the same magnitude but different signs f(x)=4x or f(x)= -4x
I know the chain rule by heart, I don't know how to apply here. f'(x)= f'(g(x)) x g'(x)
Help in need of a mentor please. @Taylor<3sRin @myko @ganeshie8
\(f(x) = -2|x-2|+4\)
hmm, wait. exactly what do you need help with?
with the problem given
it comes with the graph and the instructions.
How did you find f(x). ? did you just transform it from the original function |x|
yeah, that's how I figure it out
alright, is that the usual approach?
am I correct on g(x)?
well, i don't know what's your given problems are. are you asked to take derivative of f(x) using chain rule, or state why chain rule does not apply?
both In Problems 57–60, use Figure 3.17 and the chain rule to estimate the derivative, or state why the chain rule does not apply. The graph of f(x) has a sharp corner at x = 2. 60. Let w(x) = g(g(x)). Find: (a) w(1) (b) w(2) (c) w(3)
that's the problem and then they give you the graph
ok i see. well, we managed to figure f(x) out by using transformation from parent function, so we have f(x) = -2|x-2|+4 we can take derivative of f(x) because it is continuous. just not differentiable at break point. so we can let h(x) = -2x+4 and j(x) = |x-2| so we have \(f'(x) = h'(~j(x)~)~j'(x)\)
PS: \[\large\dfrac{d}{dx}|x| = \dfrac{x}{|x|}\]
on second thought, you was asked to estimate the derivative, but what we are doing is finding the actual derivative. hmm, not sure what to do here. do you have any idea?
what does "estimate the derivative" mean?
basically, when they ask us to do that they want an approximate value not the absolute value
huh, i am sorry, this problem confused me, because i don't see how chain rule can be apply to estimate value from given graph? so i am not sure... sorry.
it's ok, I'm confused as well, thank you for your help.
i think you are thinking too hard for this one
from the picture we see \(g(1)=3\) and \(g(3)=1\) so \(g(g(1))=g(3)=1\)
similarly \(g(2)=2\) so \(g(g(2))=g(2)=2\)
as for the derivative, \[\left(g(g(x)\right)'=g(g(x))g'(x)\] by the chain rule
ok that was a mistake!!
\[\left(g(g(x)\right)'=g'(g(x))g'(x)\]
then \[w'(1)=g'(g(1))\times g'(1)=-1\times -1=1\]
|dw:1404869501887:dw|
which should not surprise you since \(g(g(x))=x\)
then there was no need to find out the function of each one? I did that before but I thought that it was too simple. I will continue reading your answer, thank you. @satellite73 and @febylailani

Not the answer you are looking for?

Search for more explanations.

Ask your own question