Question

If f(x - 2) = x3 + 3x2 – 3x +7
find f(1).
​

Answer 1

First of all, we have

`f(x-2)=f(1) \iff x-2=1 \iff x=3`

In fact, if we choose
`x=3`, we have

`f(3-2)=f(1)`

So, let's evaluate the given function at
`x=3`:

`f(3 - 2)=f(1) = 3^3 + 3(3^2) - 3(3) +7 = 27+27-9+7=52`

Answer 2

Explanation:

f(x - 2) = f(1)

==> x -2 = 1

x = 2+1 = 3

f(x - 2) = f(3 - 2) = 3³ + 3*3² -3*3 + 7

= 27 + 27 - 9 + 7

= 54 - 2 = 52