Question 981309


Let {{{f(x)=x^2-2}}}
Let {{{g(x)=-x^2-5x-6 }}}

Find {{{(g(f(f(f(f(f(1)))))))}}}....first find {{{f(1)}}}

{{{f(1)=1^2-2=-1}}}

{{{(g(f(f(f(f(-1))))))}}}...........now  find {{{f(-1)}}}

{{{f(-1)=(-1)^2-2=-1}}}

{{{(g(f(f(f(-1)))))}}}...since {{{f(-1)=-1}}}

{{{(g(f(f(-1))))}}}...and again

{{{(g(f(-1)))}}}..and again

{{{(g(-1))}}}....now find {{{(g(-1))}}}


{{{g(-1)=-(-1)^2-5(-1)-6 }}}

{{{g(-1)=-1+5-6 }}}

{{{g(-1)=-7+5 }}}

{{{g(-1)=-2}}}