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3 years ago

Which of the following is an even function?

Mathematics

1 answer:

12345 [234]3 years ago

6 0

Answer:

B. g(x) = 2x² + 1

Step-by-step explanation:

<u>Even function has following property:</u>

g(x) = g(-x)

<u>It is easy to show this works with the second choice only. All the others don't work:</u>

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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