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

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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