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KateNicole
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Find the inverse of the function. f(x) = cube root x/8 4
 one year ago
 one year ago
KateNicole Group Title
Find the inverse of the function. f(x) = cube root x/8 4
 one year ago
 one year ago

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hartnn Group TitleBest ResponseYou've already chosen the best response.1
is that \(f(x)=(\sqrt[3]x/8) 4\) ?
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
\[f(x)=\sqrt[3]{\frac{ x }{ 8 }}4\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
oh, ok to get the inverse let y= f(x) and interchange 'x' and 'y'
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
just solve for x and at the end swap x and y.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
\(y= \sqrt[3]{\dfrac{x}{8}}4\\x= \sqrt[3]{\dfrac{y}{8}}4\) solve for 'y' ! can you ?
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
dw:1372623159821:dw
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
maybe start with cuping both sides?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
ADD 4 and then cube both sides :)
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
same thing :P
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
\[x ^{3}=\frac{ y }{ 8 } 4\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
no, no.... we first would need to add 4 on both sides... first do that before cubing.
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
BUt adding 4 first will be easier :P
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
\[x+4=\sqrt[3]{\frac{ x }{ 8}}\]
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
\[x+4^{3}=\frac{ x }{ 8 } ?\]
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
looks fishy.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
when you cube , you cube entirely, so it'll be (x+4)^3 = y/8 right ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
now what you can do to isolate 'y' ?
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
multiply by 8
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
correct! do that and tell me what u get ?
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
(x+40)^3=y?
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
no, sorry
 one year ago

KateNicole Group TitleBest ResponseYou've already chosen the best response.2
\[f ^{1}(x)=8(x+4)^{3}\]
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
correct! good :)
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
remember do entirely. WHen you + / * square or cupe you do it to whole side.
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
1 tip use parenthesis a+b=c+d if they tell you divide both sides by t a+b=c+d (a+b)/t=(c+d)/t use perenthesis cuzz that says do it to whole thing  another tip If told to square both sides a+b=c+d (a+b)^2=(c+d)^2 but (a+b)^2=(c+d)^2 is not a^2+b^2=c^2+d^2 it is (a+b)*(a*b)=(c+d)*(c+d) Maybe you knew but lots of people assume or forget.
 one year ago
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