Question

5) The incorrect statement from the following choices is
(a)The product of two even functions is an even function (b) The product of two odd
functions is an even function (c) The product of an odd function and an even function is an
even function (d) The product of an odd function and an even function is an odd function​

Answer 1

I think

a.

is right answer

Answer 2

Answer: (c) Because the product of an odd function and an even function is an odd function.

Step-by-step explanation:

Suppose  f ( x )  is odd and  g ( x )  is even.

Then  f ( − x )  = -f( x )  and  g ( − x )  =  g ( x )  for all  x

Let  h ( x )  =  f ( x ) g ( x )

Then:

h ( − x )  =  f ( − x ) g ( − x )  =  ( − f ( x ) ) g ( x )  =  − ( f ( x ) g ( x ) )  =  − h ( x )

for all   x

That is  h ( x )  is odd.

(I hope it will be marked as Brainliest)