Question 665054
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= (3x)/(x^2 + 6)}}}
{{{g = (3*(1/a)) / ((1/a)^2 + 6) }}}
{{{ g = (3/a)/((1/a^2) + 6)}}}
{{{g = (3/a)/((1+6a^2)/a^2)}}}
{{{g = (3a^2)/(a*(1+6a^2))}}}
{{{g = 3a/(1+6a^2)}}}
{{{g = 3a/(6a^2 + 1)}}}