Question:Let g be a function that is continuous for all values of x. Suppose limx1+g(x)=-1 and limx3-g(x)=4.Letf(x)={x4cos(x),x1g(x),1=3(a) Is f continuous at x=1? Explain.(b) If f continuous at x=3? Explain.(c) Does there always exist a value c on the interval (1,3) such that f(c)=0? Explain your answer fully.