Q5,p2,d14. If we define the functions f, g and h that map R into R by :

f(x) =x4,, g(x) = (x²+ 1)^1/2, h(x) = x²+ 72, then the value of the composite functions ho(gof)

and (hog)of are given as

(A) x⁸– 71 and x8– 71

(B) x⁸– 73 and x⁸– 73

(C) x⁸+ 71 and x⁸+ 71

 (D) x⁸+ 73 and x⁸+ 73

Answer D.

Explanation.

(Gof)= ((x4)²+1)^1/2

(ho(Gof))= (((x4)²+1)^1/2)²+72=x⁸+73.