Question

If x4f(x)-1-sin(2πx)=|f(x)|-2f(x) then 17|f(-2)| is equal to​

Answer 1

Answer:

Step-by-step explanation:

⇒x^4 f(x)-√1-sin2πx=lf(x)l-2f(x),

⇒Put x=-2,

⇒16f(-2)=√1+sin4π=lf(-2)l-2f(-2),

⇒16f(-2)-1=f(-2)-2f(-2),

⇒If  f(-2)>0,

⇒16f(-2)-1=f(-2),

⇒17f(-2)=1,

⇒f(-2)=1/17.

⇒16f(-2)-1=-f(-2)-2f(-2),

⇒If  f(-2)<0,

⇒19f(-2)=1,

⇒f(-2)=1/19>0,

So f(-2)=1/17,

⇒17 f(-2)=17×1/17,

⇒17/17 =1.

Hope it helps.