SOLUTION: Can you help me? Am I on the right track? f(x) = 3x+1 g(x) = (x^2 + 5x)^-1/2 find g(f(x) g (3x+1)^2 + 5(3x+1) (9x^2+6x+1 + 15x+5)^-1/2 square root of 1/9x^2+21x+6 answ

Algebra ->  Rational-functions -> SOLUTION: Can you help me? Am I on the right track? f(x) = 3x+1 g(x) = (x^2 + 5x)^-1/2 find g(f(x) g (3x+1)^2 + 5(3x+1) (9x^2+6x+1 + 15x+5)^-1/2 square root of 1/9x^2+21x+6 answ      Log On


   

Question 166206: Can you help me? Am I on the right track?
f(x) = 3x+1
g(x) = (x^2 + 5x)^-1/2 find g(f(x)
g (3x+1)^2 + 5(3x+1)
(9x^2+6x+1 + 15x+5)^-1/2
square root of 1/9x^2+21x+6 answer???
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, This is correct. Good job.
g%28f%28x%29%29=sqrt%281%2F%289x%5E2%2B21x%2B6%29%29
.
This can also be written as: g%28f%28x%29%29=sqrt%281%29%2F%28sqrt%289x%5E2%2B21x%2B6%29%29
which can be reduced to g%28f%28x%29%29=1%2F%28sqrt%289x%5E2%2B21x%2B6%29%29