If `f: RvecR` be the function defined by `f(x)=4x^3+7,` show that `f` is a bijection.

Explanation

Given as `f: R rightarrow R` is a function defined by `f(x)=4 x^{3}+7`


Injectivity:


Let `x` and `y` be any two elements in domain `(R)`, such that `f(x)=f(y)`



`Rightarrow 4 x^{3}=4 y^{3} `


`Rightarrow x^{3}=y^{3} `


`Rightarrow x=y`



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