If `f: RrarrR and g:RrarrR` are two given functions, then prove that `2min.{f(x)-g(x),0}=f(x)-g(x)-|g(x)-f(x)|`

If f:R rarr R and g:R rarr R are two given functions, then prove that 2min*{f(x)-g(x),0}=f(x)-g(x)-|g(x)-f(x)|

If f: R -> R and g: R ->R are two given functions, then prove that 2min {f(x)-g(x),0}=f(x)-g(x)-|g(x)-f(x)|

If f: RvecRvecR are two given functions, then prove that 2m indot{if(x)-g(x),0}=f(x)-|g(x)-f(x)|

If f:R→R, g:R→R be two given functions, then f(x)=2min{∣f(x)−g(x)∣,0} equals

If f: RrarrR and g:RrarrR is given by f(x)=abs(x) and g(x)=abs(5x-2) then write fog(x).

If f:RrarrR and g:RrarrR are given by f(x)=8x^3 and g(x)=x^(1/3) , then write fog.

Let f: RrarrR and g: RrarrR be two functions such that fog(x)=sinx^2 and gof(x)=sin^2x Then, find f(x) and g(x)dot

Find fog, if f:RrarrR and g:RrarrR are given by: f(x)=cosxandg(x)=x^(2) .

If f:RrarrR and g:RrarrR is defined by f(x)=sinx and g(x)=5x^2 , then (gof)(x).