Question

If `f(x)=x^2+1`, how do you find f(x+2)?

Answer 1

# x^2 + 4x + 5

Explanation:

to evaluate f(x+2) ,substitute x = x + 2 in f(x)

hence `f(x+2) = (x+2)^2 + 1`

now `(x+2)^2 = x^2 + 4x +4`

`rArr f(x+2) = x^2 + 4x + 4 + 1 = x^2 + 4x + 5`