Verify assoiativity for the following three mappings : `f: NvecZ_0` (the set of non zero integers), `g: Z_0vecZ` and `h: QvecR` given by `f(x)=2x ,g(x)=1/x` and `h(x)=e^xdot`

Explanation

Given that `f: N Rightarrow Z_{0}, g: Z_{0} Rightarrow Q` and `h: Q Rightarrow R`.



gof : `N Rightarrow Q` and hog `: Z_{0} Rightarrow R`



`RightRightarrow h circ(g circ f): N Rightarrow R` and (hog) of: `N Rightarrow R`



So, both have the same domains.



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