SOLUTION: Please help: For f(x) = 5 – 3x and g(x) = x2 – 1, find f(g(x)) and g(f(x)). thanks

Algebra ->  Expressions-with-variables -> SOLUTION: Please help: For f(x) = 5 – 3x and g(x) = x2 – 1, find f(g(x)) and g(f(x)). thanks      Log On


   

Question 73867: Please help:
For f(x) = 5 – 3x and g(x) = x2 – 1, find f(g(x)) and g(f(x)).
thanks
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


Please help:

For f(x) = 5 – 3x and g(x) = x2 – 1, 



find f(g(x))



   f(x) = 5 - 3x and g(x) = x^2 - 1



   f(g(x)) = 5 - 3(x^2-1)

           = 5 - 3x^2 + 3

           = 8 - 3x^2





 and g(f(x)).



 f(x) = 5 - 3x and g(x) = x^2 - 1



   g(f(x)) = (5 - 3x)^2 - 1

           = 25 - 30x + 9x^2 - 1

           = 24 - 30x + 9x^2