Question 1197895

1. {{{g(f(x)) }}}if {{{g(x) = x^2}}} and {{{f(x) = x + 3}}}.

{{{g(f(x)) =g(x + 3)}}}
{{{g(f(x)) =(x + 3)^2}}}
 {{{g(f(x)) =x^2 + 6 x + 9}}}


A.{{{ x^2 + 6x + 9}}}



2.{{{ f(g(x))}}} if {{{g(x) = x^2}}} and {{{f(x) = x + 3}}}.

{{{f(g(x)) =f(x^2) }}}
{{{f(g(x)) =x^2+3}}}


B. {{{x^2 + 3}}}



3. {{{g(f(x)) }}}if {{{f(x) = 4x + 1 }}}and{{{ g(x) = 2x^2 - 5}}}

{{{g(f(x)) =g(4x + 1) }}}
{{{g(f(x)) =2(4x + 1)^2-5}}}
{{{g(f(x)) =2(16 x^2 + 8 x + 1)-5}}}
{{{g(f(x)) =32 x^2 + 16 x + 2-5}}}
{{{ g(f(x)) =32 x^2 + 16 x -3}}}


F. {{{32x^2 + 16x - 3}}}



4. {{{f(g(x))}}} if {{{f(x) = 4x + 1 }}}and {{{g(x) = 2x^2 - 5}}}

{{{f(g(x))=f(2x^2 - 5)}}}
{{{f(g(x))=4(2x^2 - 5)+1}}}
{{{f(g(x))=8x^2 - 20+1}}}
{{{f(g(x))=8x^2 - 19}}}


D. {{{8x^2 - 19}}}



5.{{{ g(f(x)) }}}if {{{g(x)=sqrt(x)}}} and{{{ f(x)= x + 1}}}

{{{g(f(x)) =g(x + 1) }}}
{{{g(f(x)) =sqrt(x + 1) }}}

A. {{{sqrt(x + 1)}}}



6. {{{f(g(x))}}} if {{{g(x)=sqrt(x) }}}and {{{f(x)= x + 1}}}

{{{f(g(x))=f(sqrt(x))}}}
{{{f(g(x))=sqrt(x)+1}}}


C. {{{sqrt(x) + 1}}}



7. {{{s(h(x)) }}}if {{{s(x) = 2x }}}and {{{h(x) = x^2}}}


{{{s(h(x)) =s(x^2)}}}
{{{s(h(x)) =2(x^2)}}}
{{{s(h(x)) =2x^2}}}

answer is

F. {{{2x^2}}}



8. {{{h(s(x)) }}}if {{{s(x) = 2x }}}and {{{h(x) = x^2}}}

{{{h(s(x)) =h(2x)}}}
{{{h(s(x)) =(2x)^2}}}


A.{{{ (2x)^2}}}



9. {{{n(m(t)) }}}if {{{n(x) = 3x}}} and {{{m(t) = sqrt(t) + 1}}}

{{{n(m(t))=n(sqrt(t) + 1) }}}
{{{n(m(t)) =3(sqrt(t) + 1)}}}
 

D. {{{3(sqrt(t) + 1)}}}



10. {{{m(n(x))}}} if {{{n(x) = 3x }}}and{{{ m(t) = sqrt(t)  + 1}}}

{{{m(n(x))=m(3x )}}}
{{{m(n(x))=sqrt(3x )+ 1}}}



D. {{{sqrt(3x) + 1}}}