0 Let's study "Mathematics" with each other! (3) Posted by Sahar on September 6, 2011 If we have: f(x)= Ln(x^^{9)}g(x)= x^(^{2/3)}h(x)= e^(^{x)} Then, what is f(g(h(x)))? 1- 6x2- 9x3- 10x4- e^(^{9x)} You need to be a member of MyEnglishClub to add comments! Join MyEnglishClub Email me when people reply – Follow

## Replies

Please let me write its solution here:

f(x)= Ln(x

^{^9)}=9 lnxg(x)=x^(2/3)

h(x)=e

^{^x}f(g(h(x))) = f(g(e^x)) = f{(e^x)^2/3} = 9 ln {(e^x)^2/3}={(2/3)*9} ln (e^x)= 6ln (e^x)=

6xVery good!

Well done, dear Sue!

Yes, that is right.

Please, tell us about its solution that we learn your way, too.