Question

f is an even function. f(x) g is an odd function * x g(x) a = b = 1-2 4 -2 b

Answer 1

Answer:

yes your equation is correct.

but what's the questions asked

Answer 2

Answer:

f is even (given)

∴f(−x)=f(x)

g is odd (given)

∴ g(−x)=−g(x)

So,

According to question,

fog=f[g(x)]=f(y)        

    Let [g(x)]=y

and also,

fog=f[g(−x)]        ∵g(x) is odd

        =f[−g(x)]

        =f(−y)

        =f(y)

⇒fog(x)=fog(−x)

∴ fog is an even function