Question 1194857


Determine the correspondence rule of (𝑓 ∘ 𝑔) and (𝑔 ∘ 𝑓), where {{{f(x) = 6x^2 }}}and {{{g(x) = 14x+ 4}}}, are the results equal?


𝑓( ∘𝑔 ) ={{{f(g(x))}}}

𝑓( ∘𝑔 ) ={{{f(14x+ 4)}}}

𝑓( ∘𝑔 ) ={{{6(14x+ 4)^2}}}

𝑓( ∘𝑔 ) ={{{1176x^2 + 672x + 96}}}



𝑔( ∘𝑓 )={{{g(f(x))}}}

𝑔( ∘𝑓 )={{{g(6x^2)}}}

𝑔( ∘𝑓 )={{{14(6x^2)+ 4}}}

𝑔( ∘𝑓 )={{{84x^2 + 4}}}


so, 𝑓( ∘𝑔 ) and 𝑔( ∘𝑓 ) are {{{not }}}equal