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

If f(x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R then the period of f(x) is 1(b)2(c)3(d)4

Let 2f(x^(2))+3f(11x^(2))=x^(2)-1 for all x in R=[0], Then f(x) equals

Consider the function y=f(x) satisfying the condition f(x+(1)/(x))=x^(2)+1/x^(2)(x!=0) Then the domain of f(x) is R domain of f(x) is R-(-2,2) range of f(x) is [-2,oo] range of f(x) is (2,oo)

If 2f(x^(2))+3f((1)/(x^(2)))=x^(2)-1x varepsilon R_(0) then f(x^(2)) is

Let f(x)={x^(2)|(cos)(pi)/(x)|,x!=0 and 0,x=0,x in R then f is

Let f(x)=1/(1-x) . Then, {f\ o\ (f\ o\ f)}(x)=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

f(x)=2x-tan^(-1)x-log{x+sqrt(x^(2)+1)} is monotonically increasing when (a) x>0 (b) x<0( c) x in R( d ) x in R-{0}

Find the domain and range of the following function f(x)=2-3x, x in R,x gt 0

If a function f (x) is given as f (x) =x ^(2) -3x +2 for all x in R, then f (-1)=

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then