Question

If f(x) = x 2 + 1, find f(a + 1).

Answer 1

possible answers:
a 2 + 2
a 2+ a + 1
a 2+ 2a + 2

Answer 2

f(x) = (x^2)/(x + 1) = (x^2 - 1 + 1)/(x + 1) = (x - 1) + 1/(x + 1)

f '(x) = 1 - 1/(x + 1)²

f ''(x) = 2/(x + 1)^3using quotient rule, first derivative = x(x+2)/(x+1)^2
second derivative = 2/(x+1)^3
plug 3 in you get 2/64 or 1/32F"(x)=2 /(x+1)^3 so f"(3)=2/64=1/32

Answer 3

some twos are squares

Answer 4

f(x) =x^2 + 1 find F(a +1)
let x = a + 1
(a +1)^2 + 1
a^2 +2a + 1 + 1
a^2 + 2a + 2
the 3rd choice