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Let \( f(x) =\frac {3x^2 + 5x + 8} {x^2 - x + 4 }\) and \(g(x) = x - 1. \) Find \(f(g(x)), \) evaluated when \( x = 1.\)

 Feb 21, 2018
 #1
avatar+94545 
+1

f(g(x) = 

 

[ 3 (x - 1)^2 + 5(x - 1) + 8 ] / [ ( x - 1)^2 - (x - 1) + 4 ]

 

So

 

f(g(1) )  =

 

[ 3 (1 - 1)^2 + 5(1 - 1) + 8 ]  / [ (1 - 1)^2 - (1 - 1)  + 4 ] =

 

[ 3 (0)^2  + 5(0) + 8 ] /  [ (0^2  - 0  + 4 ]  =

 ]  / [ 0 - 0 + 4 ] =

 

8 / 4    =   2

 

 

cool cool cool

 Feb 21, 2018

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