Which of the following is an even function? g(x) = (x – 1)2 + 1 g(x) = 2×2 + 1 g(x) = 4x + 2 g(x) = 2x

Question

Which of the following is an even function?
g(x) = (x – 1)2 + 1
g(x) = 2×2 + 1
g(x) = 4x + 2
g(x) = 2x

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MichaelMet 4 years 2021-07-25T14:14:35+00:00 1 Answers 34 views 0

Answers ( )

  1. Tryphena
    0
    2021-07-25T14:15:49+00:00
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    Answer:

    • B. g(x) = 2x² + 1

    Step-by-step explanation:

    Even function has following property:

    • g(x) = g(-x)

    It is easy to show this works with the second choice only. All the others don’t work:

    • g(x) = (x – 1)² + 1
    • g(-x) = (-x – 1)² + 1

    This is not correct as x – 1 ≠ -x – 1 so as their squares, so g(x) ≠ g(-x)

    The last two choices are not even similarly.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )