Question

If f(x) = 2x^2+x find f(x+1)

Answer 1

f(x+ 1) = 2x^2 + 5x + 3.

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.