SOLUTION: If a is a positive real number, find the following values for the given function. (Simplify your answer completely.) g(x) = 3x/(x^2 + 6) What is the answer if g(1/a)

Algebra ->  Functions -> SOLUTION: If a is a positive real number, find the following values for the given function. (Simplify your answer completely.) g(x) = 3x/(x^2 + 6) What is the answer if g(1/a)       Log On


   

Question 665054: If a is a positive real number, find the following values for the given function. (Simplify your answer completely.)
g(x) = 3x/(x^2 + 6)
What is the answer if g(1/a)
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
you are told a is a positive real number, so (1/a) is a simple fraction. let's plug it in and grind this one out
g=+%283x%29%2F%28x%5E2+%2B+6%29
g+=+%283%2A%281%2Fa%29%29+%2F+%28%281%2Fa%29%5E2+%2B+6%29+
+g+=+%283%2Fa%29%2F%28%281%2Fa%5E2%29+%2B+6%29
g+=+%283%2Fa%29%2F%28%281%2B6a%5E2%29%2Fa%5E2%29
g+=+%283a%5E2%29%2F%28a%2A%281%2B6a%5E2%29%29
g+=+3a%2F%281%2B6a%5E2%29
g+=+3a%2F%286a%5E2+%2B+1%29