The Main Examples Eg.II The space of real-valued functions on a set X Let X be a set and FR(X)be the set of real-valued function on the set X.Ve define+and·by (f+g)(x)=f(x)+g(x) (cf)(z):=cf(x). Exercise Show that Example ll includes Example I. Hint:Take X to be the n-element set {1,2,...,n}. 4口++左4生+定QCThe Main Examples Eg. II The space of real-valued functions on a set X Let X be a set and FR(X) be the set of real-valued function on the set X. We define + and · by (f + g)(x) := f(x) + g(x) (c·f)(x) := cf(x). Exercise Show that Example II includes Example I. Hint: Take X to be the n-element set {1, 2, . . . , n}