Question 89185
First evaluate f(1)


{{{f(x)=4x-5}}} Start with the given polynomial



{{{f(1)=4(1)-5}}} Plug in {{{x=1}}}



{{{f(1)=4-5}}} Multiply 4 by 1 to get 4



{{{f(1)=-1}}} Now combine like terms



So g(f(1))=g(-1)


So lets evaluate g(-1)



{{{g(x)=2x+3}}} Start with the given polynomial



{{{g(-1)=2(-1)+3}}} Plug in {{{x=-1}}}



{{{g(-1)=-2+3}}} Multiply 2 by -1 to get -2



{{{g(-1)=1}}} Now combine like terms


Since {{{g(-1)=1}}}, this means g(f(1))=1