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KateNicole
 2 years ago
Find the inverse of the function. f(x) = cube root x/8 4
KateNicole
 2 years ago
Find the inverse of the function. f(x) = cube root x/8 4

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

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

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1oh, ok to get the inverse let y= f(x) and interchange 'x' and 'y'

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.0just solve for x and at the end swap x and y.

hartnn
 2 years ago
Best 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 ?

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.0maybe start with cuping both sides?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1ADD 4 and then cube both sides :)

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

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

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.0BUt adding 4 first will be easier :P

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

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

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

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1now what you can do to isolate 'y' ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1correct! do that and tell me what u get ?

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

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.0remember do entirely. WHen you + / * square or cupe you do it to whole side.

timo86m
 2 years ago
Best ResponseYou've already chosen the best response.01 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.
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