Answer:
6 - 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
To evaluate, substitute x = - 1 + [tex]\sqrt{2}[/tex] into f(x)
f(- 1 + [tex]\sqrt{2}[/tex] )
= (- 1 + [tex]\sqrt{2}[/tex] )² - 2(- 1 + [tex]\sqrt{2}[/tex] ) + 1 ← expand squared factor using FOIL
= 1 - 2[tex]\sqrt{2}[/tex] + 2 + 2 - 2[tex]\sqrt{2}[/tex] + 1 ← collect like terms
= 6 - 4[tex]\sqrt{2}[/tex]
