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)=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

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 axcept x=1 (D) for all x except x=0 and x=1

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

Let f_(1)(x)={x,x 1 and 0 otherwise f_(2)(x)=f_(1)(-x) for all x abd f_(3)(x)=-f_(2)(x) for all x and f_(4)(x)=-f_(3)(-x) for all x Which of the following is necessarily true?

If f(x)=x*x 1) and f'(x) exists finitely for all x in R, then

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

Let f(x)=x^(2)+4x+1. Then (A) f(x)>0 for all x(B)f(x)>1 when x>=0 (C) f(x)>=1 when x<=-4(D)f(x)=f(-x) for all x