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

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justaguide | College Teacher | (Level 2) Distinguished Educator

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We  are given f(x) = 2x^3 and g(x) = x + log x  and we have to  find f(g(10)

Now f(x) = 2x^3

g(x) = x + log x

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

=> 2* ( x + log x)^3

To find f(g(10) we have to substitute x for 10 in

f(g(x)) = 2* ( x + log x)^3

=> 2*( 10 + log 10)^3

=> 2* ( 10 + 1)^3

=> 2* 11^3

=> 2*1331

=> 2662

Therefore f(g(10) = 2662

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hala718 | High School Teacher | (Level 1) Educator Emeritus

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 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

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

f(x) = 2x^3 and g(x0 = x+logx. To find f(g(10).

Since f(x) = 2x^3,  we get f(g(x))  by replacing x by g(x)  in 2x^3.

Therefore f(g(x)) = 2(x+logx)^3.

To find f(g(10)) , we put x= 10 in f(g(x)) .

Therefore f(g(10) ) = 2(10+log10)^3. But log 10 = 1.

Therefore f(g(10)) = 2(10+1)^3 = 2662.

Therefore f(g(x)) = 2 (x+logx)^3. andf(g(10)) = 2662.

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