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

1. 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

2. 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)

3. 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

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

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

$10a^9 + 5a^3 - 9 = g(a) - 9 = 11 - 9 = 2$

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

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

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

thanks guys! I understand it now