Question 1183588

 {{{f(x) = cos (x) }}}and {{{g(x) = pi*x}}}

 evaluate each expression:

{{{ f(g(x))}}}

{{{f(g(x))=f(pi*x)=cos(pi*x)}}}


{{{f(g(2))=cos(pi*2)}}}
{{{f(g(2))=cos(2pi)}}}
{{{f(g(2))=1}}}


{{{f(g(1/2))=cos(pi*(1/2))}}}
{{{f(g(1/2))=cos(pi/2)}}}
{{{f(g(1/2))=0}}}



{{{g(f(x))}}}

{{{g(f(x))=g(cos(x))= pi*cos(x)}}}


{{{g(f(0))= pi*cos(0)}}}
{{{g(f(0))= pi*1}}}
{{{g(f(0))= pi}}}


{{{g(f(pi/4))=pi*cos(pi/4)}}}
{{{g(f(pi/4))=pi*(1/sqrt(2))}}}
{{{g(f(pi/4))=pi/sqrt(2)}}}
{{{g(f(pi/4))=(pi*sqrt(2))/2}}}