Given examples of two one-one functions `f_1a n df_2` from `R` to `R` such that `f_1+f_2: RvecR ,` defined by `(f_1+f_2)(x)=f_1(x)+f_2(x)` is not one-one.

Give examples of two one-one functions f_(1)andf_(2) from R to R such that f_(1)+f_(2):RrarR defined by : (f_(1)+f_(2))(x)=f_(1)(x)+f_(2)(x) is not one-one.

Give examples of two one-one functions f_(1) and f_(2) from R to R such that f_(1)+f_(2):R rarr R , defined by (f_(1)+f_(2))(x)=f_(1)(x)+f_(2)(x) is not one-one.

Show that if f_(1) and f_(2) are one-one maps from R to R, then the product f_(1)xx f_(2):R rarr R defined by (f_(1)xx f_(2))(x)=f_(1)(x)f_(2)(x) need not be one-one.

Show that if f_(1) and f_(1) are one-one maps from R to R, then the product f_(1)xf_(2):R rarr R defined by (f_(1)xf_(2))(x)=f_(1)(x)f_(2)(x) need not be one-one.

f:R^(+)rarr R^(+) defined by f(x)=1+2x^(2) this function is one-one?

f:R rarr R defined by f(x)=3x+2 this function is one-one?

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

If f:R rarr R is defined by f(x)=x/(x^2+1) find f(f(2))

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

Prove that the function F:N rarr N, defined by f(x)=x^(2)+x+1 is one-one but not onto.