Could someone please explain to me the concepts behind this question? Attachment to come.

Question

poofypenguin · Answer

attachment

poofypenguin · Answer

I'm looking at the part about finding the function for u? What method would i use to solve it and what is this kinda process called?

baldymcgee6 · Answer

I think by asking to write u as a function of v it means: u(v(x))

poofypenguin · Answer

but doesn't the hint imply its: u=w(v(x))?

baldymcgee6 · Answer

ohhh... hmmm, i'm not sure then. I didnt see that hint.

poofypenguin · Answer

any ideas on how to find w?

anonymous · Answer

in plain terms, u(x) takes the input v(x) and takes the square root of it, right?

anonymous · Answer

I'm not sure on the notation, but I think they are just asking you to say:

u = sqrt(v)

or something similar.

That hint is confusing though.

poofypenguin · Answer

I'm not sure if that's right...are you sure that we don't need to consider the hint?

anonymous · Answer

U = W o V is a composition of functions.

let W = sqrt(x)
V = 3x^2 + 8x + 7