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
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Please let me write its solution here:
f(x)= Ln(x^9) =9 lnx
g(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)= 6x
Very good!
Well done, dear Sue!
Yes, that is right.
Please, tell us about its solution that we learn your way, too.