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

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

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

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

If f(x)=sqrt(x^(2)+6x+9), then f'(x) is equal to 1 for x<-3( b) -1 for x<-3(c)1 for all x in R(d) none of these

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

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

Let f: R to R : f (x) = 4x+3 for all x in R . Show that f is invertible and find f^(-1)

If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1 . Then (A)f(x) is continuous for all x (B) for all x except x=0 (C) for all x except x=1 (D) for all x except x=0 and x=1

If f(x) defined by f(x)={(|x^2-x|)/(x^2-|x|),x!=0,1-1 . Then (A)f(x) is continuous for all x (B) for all x except x=0 (C) for all x except x=1 (D) for all x except x=0 and x=1

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