SOLUTION: Construct two composite functions (g � f) (x)= (g � f) (2)= (f � g) (x)= (f � g) (2)=

Question 831331: Construct two composite functions

(g � f) (x)=
(g � f) (2)=
(f � g) (x)=
(f � g) (2)=

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Construct two composite functions:
f(x) = x + 5 ; g(x) = x^2
-------
(g � f) (x)= g[f(x)] = g[x+5] = (x+5) = x^2 + 10x + 25
-----------------------------------------------------
(g � f) (2)= 2^2 + 10*2 + 25 = 4+100+25 = 129
----------------------------------------------------
(f � g) (x)= f[g(x)] = f[x^2] = x^2+5
-------------------------------------------
(f � g) (2)= 2^2+5 = 4+5 = 9
==================================
Cheers,
Stan H.
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