Question 714238
f(x)=5x^2+4x-3 


f(x+1)=5(x+1)^2+4(x+1)-3 ... so far, so good


Now you expand, distribute, and combine like terms to simplify


f(x+1)=5(x+1)(x+1)+4(x+1)-3


f(x+1)=5(x^2+2x+1)+4(x+1)-3


f(x+1)=5x^2+10x+5+4x+4-3


f(x+1)=5x^2+14x+6



So the answer is f(x+1)=5x^2+14x+6