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\(Let $f(x)=2x-4$ and $g(x)=x^2+3$. What is $f(g(2))$?\)

 Jun 15, 2019
 #1
avatar+8842 
+3

First let's find  g(2) .

 

g(x)  =  x2 + 3

                           Plug in  2  for every  x  in the equation.

g(2)  =  22 + 3

                           Simplify the right side of the equation.

g(2)  =  4 + 3

 

g(2)  =  7

 

Second let's find  f(7) .

 

f(x)  =  2x - 4

                           Plug in  7  for every  x  in the equation.

f(7)  =  2(7) - 4

                           Again simplify the right side of the equation.

f(7)  =  14 - 4

 

f(7)  =  10

 

So now we have found...

 

f( g(2)  )  =  f( 7 )     and     f( 7 )  =  10          so          f( g(2) )  =  10

 Jun 15, 2019
 #3
avatar+208 
-1

Dont put everything in latex- also it looks like the problems are from Aops....

 Jun 16, 2019

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