f(x) = 2x^3 and g(x) = x + logx. Find f(g(10).

 Given the function f(x) = 2x^3 and the function g(x) = x+log
x.   

 We need to find f(g(10)).

First
we will determine f(g(x)).

f(g(x) = f ( x+ log
x).

Substitute with x= ( x+ log x ) into
f(x).

          = 2(x+log x) ^3

Now to
find f(g(10)) we will substitute with x = 10

==> f(g(10)) = 2
( 10 + log10)^3

But we know that log 10 =
1

==> f(g(10)) = 2(10 +
1)^3

                    =
2(11)^3

                    =
2*1331

                     =
2662

==> f(g(10)) =
2662