suppose zxy find fzx if a fxxfyxx2 if 0

suppose z=x+y. find fz(x) if

a) fx(x)=fy(x)=x/2 if (0<x<2)

b) fx(x)=fy(x)=1/2(x-3) if (3<x<5)

c) fx(x)=1/2 if (0<x<2)

fy(x)=x/2 if (0<x<2)

Solution

a)

Fz = x/2 + x/2

b)

Fz = 1/2(x-3) + 1/2(x-3)

c)

Fz = 1/2 + x/2