Answer:
f(x+ 1) = 2x^2 + 5x + 3.
Step-by-step explanation:
We replace the x in the expression for f(x) by x+1:
f(x+1) = 2(x + 1)^2 + x + 1
= 2(x^2 + 2x + 1) + x + 1
= 2x^2 + 4x + 2 + x + 1
= 2x^2 + 5x + 3.
