Question 934014
Assuming this is what you're trying to say.
{{{ h(x) = 1/(sqrt(3x+7)) }}}
Since we know that
{{{ h(x) = (f*g)(x) }}}
We can use the property of equality to make a probable solution that
{{{ (f*g)(x) = 1/(sqrt(3x+7)) }}}

Based on this, we can only assume that there are infinite solutions since there are no more information that you have provided.

For example, the functions could be:
{{{ f(x) = 1/x }}}
{{{ g(x) = sqrt(3x+7) }}}

OR the functions could be:
{{{ f(x) = 1/sqrt(x) }}}
{{{ g(x) = (3x+7)^2 }}}