[" Let "f(x)=x^(2),x in R." For any "A sube R," define "g(A)={x in R:f(x)in A}." If "S=[0,4]" ,the "],[" which one of the following statements is not true? "]

Let f(x)=x^(2), x in R. " for any " A subseteq R, define g(A)={x in R: f(x) in A} . If S=[0,4], then which one of the following statements is not ture? (A) f(g(S))=S (B) g(f(S)) ne S (C) g(f(S)) =g(S) (D) f(g(S))ne f(S)

If the function F: R to R is defined by f(x)=|x|(x-sinx) , then which o f the following statemnts is true ?

f: R to R and g: [0,oo)to R is defined by f(x) = x^(2) and g(x) = sqrtx . Which one of the following is not true?

Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R . Then which of the following statement(s) is/are true?

Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R . Then which of the following statement(s) is/are true?

Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R . Then which of the following statement(s) is/are true?

Let f : R ->R defined by f(x) = min(|x|, 1-|x|) , then which of the following hold(s) good ?

Let f: R to R be a function defined by f(x)="min" {x+1,|x|+1}. Then, which of the following is true?