if f(x)=x^1/2-x and g(x)=2x^3-x^1/2, find f(x)-g(x)

- anonymous

if f(x)=x^1/2-x and g(x)=2x^3-x^1/2, find f(x)-g(x)

- katieb

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- anonymous

i would really appreciate it if someone would actually help me this time!...

- anonymous

ok ill help u

- anonymous

thank you somuch!

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## More answers

- anonymous

this would be your equation
(x^1/2-x)-(2x^3-x^12)

- anonymous

Answers are:
-2x^3-2x-2x^1/2
-2x^3-2x
2x^3-2x+2x^1/2
-2x^3+2x^1/2

- anonymous

okay... my is like my worst subject so, could you explain how to do that? please

- anonymous

math*

- anonymous

is this what the problem looks like?

##### 1 Attachment

- anonymous

yes

- anonymous

ok thanks

- anonymous

no problem

- anonymous

??...

- anonymous

umm hmm this one is tough

- anonymous

yeah ik DX

- FireKat97

you know that we can write x^1/2 as √x right?

- anonymous

i didnt know that

- FireKat97

well you should try and remember that its pretty useful :)

- FireKat97

so if we have f(x) - g(x)
we can write this as (√x - x) - (2x^3 - √x)

- FireKat97

do you know how you would simplify - (2x^3 - √x)?

- anonymous

thank you so much, math is my worst subject but im almost done with the class. thanks for helping!! (:

- anonymous

let me try, but most likely no

- anonymous

nope i dont

- FireKat97

okay so imagine there is a 1 after the - sign so you have to simplify
-1(2x^3 - √x) do you know the FOIL method?

- anonymous

i forgot it havent done it in a while

- anonymous

is it -2x^3+2x^1/2

- anonymous

?

- FireKat97

yup! thats correct!

- anonymous

omg thanks so much!!

- anonymous

would you mind helping me out i have three more questions left?

- FireKat97

so now we have x^1/2 - x - 2x^3 + x^1/2 and we want to simplify this by collecting like terms

- FireKat97

were nearlyyyy finished with this question ahahha

- anonymous

oh haha i thought we were alredy done lol i already went on to the next question

- FireKat97

lol dw we're close

- anonymous

can we skip that one ?

- anonymous

A machine is set up to cut metal strips of varying lengths and widths based on the time (t) in minutes. The change in length is given by the function l(t)=t^2 - sq. root of t, and the change in width is given by w(t)=t^2 - 2t 1/2. Which function gives the change in area of the metal strips?

- FireKat97

okay do you know formula for the area of a rectangle?

- anonymous

a=wl

- anonymous

Answers:
a(t)=t^4+2t
a(t)=t^4+2t+3t^5/2
a(t)=t^4-3t^5/2+2t
a(t)=t^4+2t-2t^1/2+square root of t

- FireKat97

yup so we want to do l(t) x w(t) do you see why?

- anonymous

not really

- anonymous

wait yes i do

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