h(x)=x^2/(x^2+4) what is f and what is g?

Question

bluebeta · Answer

@RCCB

misty1212 · Answer

HI!!

misty1212 · Answer

are you supposed to write it as $$f(g(x))$$ for some $f$ and $g$?

bluebeta · Answer

@misty1212 the question says express the following function, h(x) as a composition of two functions f and g.

bluebeta · Answer

would you like me to post a picture of the problem? @misty1212

misty1212 · Answer

you have a ton of choices

misty1212 · Answer

perhaps the easiest one is to say $g(x)=x^2$ and $f(x)=\frac{x}{x+4}$

misty1212 · Answer

that way, $$f(g(x))=f(x^2)=\frac{x^2}{x^2+4}$$

bluebeta · Answer

so g(x)=x^2 and f(x)=x/x+4 ?? @misty1212

bluebeta · Answer

also i have one more question @misty1212

misty1212 · Answer

ok

bluebeta · Answer

22.	A ball is thrown upward with an initial velocity of 4 ft/sec from a height of 10 feet.    What is the maximum height that the ball will reach?

bluebeta · Answer

and would I write both things you put for my first question?

misty1212 · Answer

$$h=-16t^2+4t+10$$ max is at $$-\frac{b}{2a}=-\frac{4}{-32}=\frac{1}{8}$$ plug in $f\rac{1}{8}$ to get your answer

misty1212 · Answer

oops plug in $\frac{1}{8}$ to get your answer

bluebeta · Answer

what's \rac??

bluebeta · Answer

plug in 1/8 to where? v,t, or s?

misty1212 · Answer

$t$ in $-16t^2+4t+10$

misty1212 · Answer

bluebeta · Answer

@misty1212 so do i write t=41/4?