If function f and g are both even functions, is the product fg even. [Solved]

P.S. Think of it like this. Even functions represent a positive number. Odd functions represent a negative number.

Even Function

Then f(x)g(x) = (f*g)(x) = f(-x)g(-x) = (f*g)(-x)
(f*g)(x) = (f*g)(-x)

But positive by negative provides a negative result. (odd)

Source(s): XPressTutor.com

(f*g)(x) = f(x)g(x) = f(-x)*g(-x) =/= -f(-x)*g(-x) = -(f*g)(-x)
(f*g)(x) =/= -(f*g)(-x)

1. Even
2. Even
3. Odd

P.S. Think of it like this. Even functions represent a positive number. Odd functions represent a negative number.

To sum it up,
1)even
2) even
3) odd.

To sum it up,
1)even
2) even
3) odd.

Source(s): XPressTutor.com

Even Function

P.S. Think of it like this. Even functions represent a positive number. Odd functions represent a negative number.

1. Even
2. Even
3. Odd

1. Even
2. Even
3. Odd

Even Function

This post is last updated on hrtanswers.com at Date : 1st of September – 2022

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