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Let f(x) be an even function defined for all real numbers x  and let  g(x) = 3f(x + 1)/5.   You are told that the graph of f(x) passes through the point (2,-2) Then the graph of f(x) must also pass through the point (a, b) Enter your answer in the form "a, b".

 May 9, 2022
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Note that g(x) is irrelevant in this question. Since the graphs of even functions are symmetric about the line x = 0, if we reflect (2, -2) across x = 0, we get another point on the graph of f(x). Can you do that on your own?

 May 9, 2022

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