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

Rarp asked Jan 13, 2022

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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

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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

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