Evaluate the function if f(x)=x²-2x+1. Find f(-1+√2) Can someone help me please?

Rarp asked Jan 13, 2022

294,514 views

7 votes

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

Can someone help me please?

Rarp asked Jan 13, 2022

by Rarp

2.9k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

9 votes

Answer:

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)

Glenn Lane answered Jan 19, 2022

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers