Question 1039986
Let f (x) = 2x^2 + 8x – 5 and g(x) = 4x – 1 
(a) Find the composite function (f o g)(x) and simplify the results. Show work. 
fog(x) = f[g(x)] = f[4x-1] = 2(4x-1)^2+8(4x-1)-5
= 2(16x^2 -8x+1)+32x-8-5
----
= 32x^2 - 16x + 2 + 32x - 13
----
= 32x^2 + 16x - 11
----------------------------- 

(b) Find (f o g)(-1)  = f[g(-1] = f[-4-1] = f[-5]
= 2(-5)^2 + 8(-5) -5
= 50 - 45
---
= 5
-----------
Cheers,
Stan H.
-------------