CUET Preparation Today
"Let f : X → Y , g : Y → Z and h : Z → s are functions , then |
ho(gof) and (hog)of are not defined ho(gof) and (hog)of are well defined and ho(gof) = (hog)of ho(gof) may not be equal to (hog)of None of these |
ho(gof) and (hog)of are well defined and ho(gof) = (hog)of |
$LHS = hο(gοf)(x)$ $=h(gof(x))=h(g(f(x)))$ $RHS=(hog)of(x)$ $=hog(f(x))=h(g(f(x)))$ $LHS=RHS⇒ho(gof)(x)=(hog)of(x)$ |
