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29 May, 10:52

Which of the following is an even function?

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

g (x) = 2x2 + 1

g (x) = 4x + 2

g (x) = 2x

+2
Answers (1)
  1. 29 May, 13:09
    0
    Even means g (-x) = g (x)

    replace x with - x and see if it simplifies to original functin

    g (-x) = (-x-1) ²+1

    g (-x) = ((-1) (x+1)) ²+1

    g (-x) = (x+1) ²+1

    nope

    g (x) = 2x²+1

    g (-x) = 2 (-x) ²+1

    g (-x) = 2x²+1

    yep

    we are done

    answer is 2nd one
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