Question 1160241


{{{f(x)=1/x^a }}}
{{{ g(x)=1/x^b}}}

 find {{{g*f }}}and satte its domain
Assume {{{a>1}}} and{{{ b>1}}}

{{{(g*f)(x)=(1/x^b)(1/x^a)}}}

{{{(g*f)(x)=1/(x^b*x^a)}}}

{{{(g*f)(x)=1/x^(b+a)}}}


since given {{{a>1}}} and{{{ b>1}}}, domain is 

{ {{{x}}} element {{{R}}}: {{{x<>0}}} }