सिद्ध कीजिए कि `f(x)=x^(3)` द्वारा प्रदत्त फलन `f: R to R ` एकैकी (Injective ) है ।

If f:R to R, f(x) =x^(3)+1 , then f is :

If f:R rarr R,f(x)=x^(3)+x, then f is

Show that f(x)=a^x "on" R.(a gt 0 "and" a != 1) functions are injective.

Examine f:R rarr R ,f(x) =x^3 +1 functions if it is (i) injective (ii) surjective, (iii) bijective and (iv) none of the three.

Let A={x:x varepsilon R-}f is defined from A rarr R as f(x)=(2x)/(x-1) then f(x) is (a) Surjective but nor injective (b) injective but nor surjective (c) neither injective surjective (d) injective

Examine f:R_+ rarr R +, f(x) =x +1/x "where"R_+={x in R :x gt 0} functions if it is (i) injective (ii) surjective, (iii) bijective and (iv) none of the three.

f:R rarr R; f(x)=(3-x) then fof(x) is

Show that the function f: R to R given by f (x) = x ^(3) is injective.

Show that the function f: R to R given by f (x) = x ^(3) is injective.