Question 1205243

Given

{{{ f(x) = 1/(x-5)}}}
 
{{{g(x)= sqrt(x-2) }}}


Find ({{{f}}} o {{{g}}}) ({{{18}}})


first find ({{{f}}} o {{{g}}})  ({{{x}}})

({{{f}}} o {{{g}}})  ({{{x}}})={{{f(sqrt(x-2) )}}}

({{{f}}} o {{{g}}})  ({{{x}}})= {{{1/(sqrt(x-2) -5) }}}

({{{f}}} o {{{g}}})  ({{{x}}})= {{{1/(sqrt(x-2) -5) }}}


then


({{{f}}} o {{{g}}})  ({{{18}}})= {{{1/(sqrt(18-2) -5)}}} 

({{{f}}} o {{{g}}})  ({{{18}}})= {{{1/(sqrt(16) -5) }}}

({{{f}}} o {{{g}}})  ({{{18}}})= {{{1/(4 -5)}}} 

({{{f}}} o {{{g}}})  ({{{18}}})= {{{1/( -1) }}}

({{{f}}} o {{{g}}})  ({{{18}}})= {{{-1 }}}