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If f(x) is an even function and passes through the point (5,3), what other point must lie on the graph of the function? If fg(x) is an odd function and passes through the point (5,3), what other point must lie on the graph of the function?

Respuesta :

Using the concepts of even and odd functions, it is found that:

  • Point (-5,3) must lie on the graph of f(x).
  • Point (-5,-3) must lie on the graph of g(x).

What are even and odd functions?

  • In even functions, we have that [tex]f(x) = f(-x)[/tex].
  • In odd functions, we have that [tex]f(x) = -f(x)[/tex].

Even function f(x):

  • Goes through point (5,3), that is, f(5) = 3, hence to be even f(-5) = 3, which means that it goes through point (-5,3).

Odd function g(x):

  • Goes through point (5,3), that is, f(5) = 3, hence to be off f(-5) = -3, which means that it goes through point (-5,-3).

You can learn more about even and odd functions at https://brainly.com/question/24410059