(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)

[answerhappygod]

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 Funct 1 (29.41 KiB) Viewed 61 times

(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