Need help solving this problem. (Inverse Functions)

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Aug 9th 2011, 11:13 AM
bseymore

Need help solving this problem. (Inverse Functions)

Can anyone show me how to solve this?
g(x) = 10x^9 + 5x^3

10(g^-1(11))^9 + 5(g^-1(11))^3-9
Aug 9th 2011, 11:14 AM
Siron

Re: Need help solving this problem. (Inverse Functions)

What do you have to solve? (I can't see anything, maybe I'm the only one)
Aug 9th 2011, 11:18 AM
bseymore

Re: Need help solving this problem. (Inverse Functions)

i posted a screenshot of the problem but i guess it didnt work. i wrote it out above
Aug 9th 2011, 12:11 PM
skeeter

Re: Need help solving this problem. (Inverse Functions)

Quote:

Originally Posted by bseymore

Can anyone show me how to solve this?
g(x) = 10x^9 + 5x^3

10(g^-1(11))^9 + 5(g^-1(11))^3-9

$g(x) = 10x^9 + 5x^3$

let $a$ be the real value such that $g(a) = 11$

since $g(a) = 11$ , $g^{-1}(11) = a$

$10a^9 + 5a^3 - 9 = g(a) - 9 = 11 - 9 = 2$
Aug 10th 2011, 10:48 AM
HallsofIvy

Re: Need help solving this problem. (Inverse Functions)

Quote:

Originally Posted by bseymore

Can anyone show me how to solve this?
g(x) = 10x^9 + 5x^3

10(g^-1(11))^9 + 5(g^-1(11))^3-9

For any (invertible) function g, $g(g^{-1}(x))= x$

Note that $10x^9+ 5x^3- 9= g(x)- 9$ .
Aug 13th 2011, 05:41 AM
bseymore

Re: Need help solving this problem. (Inverse Functions)

thanks guys! I understand it now

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