Question

Evaluate the function if f(x)=x²-2x+1. Find f(-1+√2)

Can someone help me please?​

Answer 1

6 - 4
`√(2)`

Explanation:

To evaluate, substitute x = - 1 +
`√(2)` into f(x)

f(- 1 +
`√(2)` )

= (- 1 +
`√(2)` )² - 2(- 1 +
`√(2)` ) + 1 ← expand squared factor using FOIL

= 1 - 2
`√(2)` + 2 + 2 - 2
`√(2)` + 1 ← collect like terms

= 6 - 4
`√(2)`