Question

If f(x) = x2 + 5, which expression represents f(x + 1)?

Answer 1

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

Explanation:

To find f(x + 1), we substitute (x + 1) for x in f(x) = x^2 + 5:

f(x + 1) = (x + 1)^2 + 5, or

= x^2 + 2x + 1 + 5, or

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