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Adi3
 one year ago
will medal
Please help.
find the inverse of
f(n) = 2(n2)^3
Adi3
 one year ago
will medal Please help. find the inverse of f(n) = 2(n2)^3

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(y = 2(n2)^3 \) \((\dfrac{y}{2})^\frac{1}{3} = n2\) etc

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(f(n) = 2(n2)^3\) \(y = 2(n2)^3\) yes?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(\frac{y}{2} = (n2)^3\) ok?

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1why would you do y/2, isn't it dw:1443341707529:dw

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\[\dfrac{y}{2} = \dfrac{2(n2)^3}{2}\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2you want the inverse, is that right, ie \(n = n(y)\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\[\dfrac{y}{2} = \dfrac{2(n2)^3}{2} \implies \dfrac{y}{2} = (n2)^3\]

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1we need to inverse this function

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2yes, indeed label the \(f(n)\) as y just because it makes it easier to write out. then we need to find and equation in form \(n = n(y) = f^{1}(n)\) so \(y = 2(n2)^3\) \(\frac{y}{2} = (n2)^3\) like so.

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1but isn't it like n= 2(y2)^3

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2ok let's go that way \(n= 2(y2)^3\) \(\frac{n}{2} = (y2)^3\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\[(\frac{n}{2})^{\frac{1}{3}} = y2\]

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1wait wait, where did 1/3 come from

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2take cube root of each side

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1why cant it be dw:1443342930062:dw

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\(a^3 = b\) \(a = b^{\frac{1}{3}} = \sqrt[3]{b}\) same thing

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ \sqrt[3]{n} }{ 2}\]

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1lets go this way if you dont mind

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2if that way, than \[\large (\frac{n}{2})^{\frac{1}{3}} = \sqrt[3]{\frac{n}{2}}= y2\]

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1yup, then \[\frac{ \sqrt[3]{n} }{ 2 } + 2\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2be careful the cube root must include the 1/2 its \[y=\sqrt[3]{\frac{ n} { 2 }} + 2\] NOT \[y=\frac{ \sqrt[3]{n} }{ 2 } + 2\]

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1one more question can i ask please

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2shoot but if it's a new question, new thread is best

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1find the inverse of g(x) = 1/x  2

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2you like to do it this way \[x = \frac{1}{y}  2 \] \[\frac{1}{y} = x + 2 \] \[y = \frac{1}{x+2}\]

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1and the inverse of 4x + 1 is \[\frac{ x1 }{ 4 }\] right

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443344105564:dw

Adi3
 one year ago
Best ResponseYou've already chosen the best response.1alright thanks. no more questions
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