If `f(x)=m a xi mu m{x^3, x^2,1/(64)}AAx in [0,oo),t h e n` `f(x)={x^2,0lt=xlt=1x^3,x >0` `f(x)={1/(64),0lt=xlt=1/4x^2,1/41` `f(x)={1/(64),0lt=xlt=1/8x^2,1/81` `f(x)={1/(64),0lt=xlt=1/8x^3,x >1/8`

f(x)={(4, xlt-1) ,(-4x,-1lt=xlt=0):} If f(x) is an even function in R then the definition of f(x) in (0,oo) is: (A) f(x)={(4x, 0ltxle1),(4, xgt1):} (B) f(x)={(4x, 0ltxle1),(-4, xgt1):} (C) f(x)={(4, 0ltxle1),(4x, xgt1):} (D) f(x)={(4, xlt-1),(-4x, -1lexle0):}

Let f(x)=x^3-3x^2+6AAx in R and g(x)={m a x :f(t ; x+1lt=tlt=x+2,-3lt=xlt=0 1-x ,xgeq

If (f(x))^(2)xxf((1-x)/(1+x))=64x AAx in D_(f), then The domain of f(x) is

If (f(x))^(2)f((1-x)/(1+x))=64x;x!=0 then f(x)=

Find the greatest and least values of function f(x)={-x , -1lt=x<0 2-(x-1)^2, 0lt=xlt=2

Evaluate: int_(-1)^1f(x)dx ,w h e r ef(x)={1-2x ,xlt=0 1+2x ,xgeq0 int_(-1)^4f(x)dx ,w h e r ef(x)={2x+8,1lt=xlt=2 6x ,2lt=xlt=4

If f(x^(2) - 4x + 4) = x^(2) + 1 . Find f(1) if f(1) lt 8 .

If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x) .

If f(x)={(x-1",",xlt0),(1/4",",x=0),(x^2",",xgt0):} , then