Question 318023
{{{f(x)=3x^2+2x-1}}} Start with the first function.



{{{f(3)=3(3)^2+2(3)-1}}} Plug in {{{x=3}}}.



{{{f(3)=3(9)+2(3)-1}}} Square {{{3}}} to get {{{9}}}.



{{{f(3)=27+2(3)-1}}} Multiply {{{3}}} and {{{9}}} to get {{{27}}}.



{{{f(3)=27+6-1}}} Multiply {{{2}}} and {{{3}}} to get {{{6}}}.



{{{f(3)=32}}} Combine like terms.



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{{{g(x)=5x+7}}} Now move onto the second function.



{{{g(f(3))=5*f(3)+7}}} Plug in {{{x=f(3)}}}



{{{g(f(3))=5*32+7}}} Plug in {{{f(3)=32}}} on the right side.



{{{g(f(3))=160+7}}} Multiply 32 and 5 to get 160



{{{g(f(3))=167}}} Add 160 to 7 to get 167.



So the solution is {{{g(f(3))=167}}}