Please prove only a and d

5. Consider functions f and q defined on an open interval _ containing the point, If both f and g are continuous at a, prove that each of the following functions ; continuous at a. (a) h(z) = f(2)+ 9(2), x EI (b ) 9 ( 20 ) = f (20 ) g (x ) , x E I, if g(a) + 0 (c) p(x) = f(2)g(x), xEI (d) u(xx) = 2f (20) - 39(20) + f (20)2, x El