We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
517
1
avatar

if f(x)=2x^2-3 and g(x)=x-2 find f(g(3) 

 May 11, 2018
 #1
avatar+8439 
+1

To find  f( g(3) ) , first let's find  g(3) .

 

g(x)  =  x - 2_____ Plug in  3  for  x
g(3)  =  3 - 2 Simplify.
g(3)  =  1  

 

Since  g(3) = 1 ,  we can substitute  1  in for  g(3) .

 

f( g(3) )  =  f( 1 )

 

Now we just have to find  f(1) .

 

f(x)  =  2x2 - 3_____ Plug in  1  for  x
f(1)  =  2(1)2 - 3 Simplify.
f(1)  =  2(1) - 3  
f(1)  =  2 - 3  
f(1)  =  -1  

 

So....

 

f( g(3) )  =  f(1)  =  -1

 

f( g(3) )  =  -1

 May 11, 2018

12 Online Users