Let `A={x in R :-1lt=xlt=1}=B` . Show that `f: A->B` given by `f(x)=x|x|` is a bijection.

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Show that f: R->R , defined as f(x)=x^3 , is a bijection.

Show that the function f: R->R given by f(x)=x^3+x is a bijection.

If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

Show that the function f:R rarr given by f(x)=x^(3)+x is a bijection.

Show that the function f: Rvec R given by f(x)=x^3+x is a bijection.

Show that the function f:R rarr R given by f(x)=x^(3)+x is a bijection.