SOLUTION: I am in need of finding the (fog) and the (gof) Given f(x)=sqrt4x+1 and g(x)= 4x^2-2 a. (f o g)(1) b. (g o f)(6) Please help

Algebra ->  Functions -> SOLUTION: I am in need of finding the (fog) and the (gof) Given f(x)=sqrt4x+1 and g(x)= 4x^2-2 a. (f o g)(1) b. (g o f)(6) Please help      Log On


   

Question 684824: I am in need of finding the (fog) and the (gof)
Given f(x)=sqrt4x+1 and g(x)= 4x^2-2
a. (f o g)(1) b. (g o f)(6)

Please help
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
(fog) = sqrt%284%284x%5E2-2%29%2B1%29
= sqrt%2816x%5E2-8%2B1%29
= sqrt%2816x%5E2-7%29
(fog)(1) = sqrt%2816%281%29%5E2-7%29
= sqrt%2816-7%29
= sqrt%289%29
(fog)(1) = 3
...
...
(gof) = 4%28sqrt%284x%2B1%29%29%5E2-2
= 4(4x+1)- 2
= 16x + 4 - 2
= 16x + 2
(gof)(6) = 16*6 + 2
= 96 + 2
(gof)(6) = 98
.....................
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