If `f(x)=x^(1//3)(x-2)^(2//3)` for all `x ,` then the domain of `f'` is a. `x in R-{0}` b. `{x|x > 0}` c. `x in R-{0,2}` d. `x in R`

f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. f(x) is

Let g(x) =f(x)-2{f(x)}^2+9{f(x)}^3 for all x in R Then

If f(3x+2)+f(3x+29)=0 AAx in R , then the period of f(x) is

f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. The value of f(1) is

If f(x)=(3x-2)/(2x-3), prove that f(f(x)))=x for all x in R-{3/2} .

If f(x)=(3x-2)/(2x-3), prove that f(f(x)))=x for all x in R-{3/2} .

Let f(x)=1/(1-x) . Then, {f\ o\ (f\ o\ f)}(x)=(a) x for all x in R (b) x for all x in R-{1} (c) x for all x in R-{0,\ 1} (d) none of these

If h(x)= f(f(x)) for all x in R, and f(x)= x^3 + 3x+2 , then h(0) equals

If f(x) =ax^(2) + bx + c satisfies the identity f(x+1) -f(x)= 8x+ 3 for all x in R Then (a,b)=

Let f(x)=x^3-6x^2+15 x+3 . Then, (a) f(x)>0 for all x in R (b) f(x)>f(x+1) for all x in R (c) f(x) is invertible (d) f(x)<0 for all x in R