SOLUTION: Let f(x)=7x an g(x)= 2x^2-9. find the following: (fog)(x) (gof)(x) (fog)(2) and (gof)(-1) not sure what i am doing,,,thanks for your help

Algebra ->  Rational-functions -> SOLUTION: Let f(x)=7x an g(x)= 2x^2-9. find the following: (fog)(x) (gof)(x) (fog)(2) and (gof)(-1) not sure what i am doing,,,thanks for your help      Log On


   



Question 63216: Let f(x)=7x an g(x)= 2x^2-9. find the following:
(fog)(x) (gof)(x) (fog)(2) and (gof)(-1)
not sure what i am doing,,,thanks for your help

Answer by jai_kos(139) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=7x an g(x)= 2x^2-9. find the following:
(fog)(x) (gof)(x) (fog)(2) and (gof)(-1)
not sure what i am doing,,,thanks for your help
Solution:
Given fog(x) = f(g(x)) = f(2x^2 -9) = 7(2x^2 -9) = 14x^2 -56
g0f(x) = g(f(x) = g(7x) = 2(7x)^2 -9 = 2(49x^2) - 9 = 98x^2-9

Fog(2) = 14(2)^2 - 56 = 0
gof(-1) = 98(-1)^2 - 9 = 98 - 9 = 89