Question 127194
Remember, (g o f)(x) means g(f(x))


{{{g(x)=5x-3}}} Start with the second function




{{{g(f(x))=5(4x^2 +5x+7)-3}}} Plug in {{{f(x)=4x^2 +5x+7}}}. In other words, replace each x in g(x) with {{{4x^2 +5x+7}}}



{{{g(f(x))=20x^2 +25x+35-3}}} Distribute



{{{g(f(x))=20x^2 +25x+32}}} Combine like terms