(20 marks) Suppose that g, f: R + R and g has the property that for any z,Y ER - y <€1/2 g(x) - 9(y)
Posted: Tue Sep 07, 2021 7:21 am
(20 marks) Suppose that g, f: R + R and g has the property that for any z,Y ER - y <€1/2 g(x) - 9(y)<E. Define the function go f(x) = g(f(x)). Find an explicit expression for a 8 (in terms of e and a and g(a)) so that |x - al 58= |go f(x) – go f(a) <€ where (a) f(x) = 2x (b) f(x) = 1 1+2
Posted: Tue Sep 07, 2021 7:21 am
(20 marks) Suppose that g, f: R + R and g has the property that for any z,Y ER - y <€1/2 g(x) - 9(y)<E. Define the function go f(x) = g(f(x)). Find an explicit expression for a 8 (in terms of e and a and g(a)) so that |x - al 58= |go f(x) – go f(a) <€ where (a) f(x) = 2x (b) f(x) = 1 1+2