SOLUTION: Evaluate h(2), where h=gºf. f(x)= 1/2x+1, g(x)=sqrt(x)

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Question 1125128: Evaluate h(2), where h=gºf.
f(x)= 1/2x+1, g(x)=sqrt(x)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

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Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
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            I came to fix the errors in the post of the other tutor.


You may go in  any  of two ways.


The first way. 

First evaluate f(2),   where f(x) =  :


    f(2) =  = 1 + 1 = 2.


And then evaluate g(f(2)) = g(2) = .


It is your ANSWER.


The second way. 

Start developing the general formula for  gof(x) :


    gof(x) = g(f(x)) =  = 


and then substitute x= 2 into this formula


    gof(2) =  =  = .

By doing any way,  you get the same  ANSWER :   gof(2) = .



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