Question: (a) Show that a function f: R1 R1 is an automorphism if and only if it has the form x kx for some k 0.

(a) Show that a function f: R1 †’ R1 is an automorphism if and only if it has the form x †’ kx for some k ‰ 0.
(b) Let f be an automorphism of R1 such that f(3) = 7. Find f(- 2).
(c) Show that a function f: R2 †’ R0 is an automorphism if and only if it has the Form

for some a, b, c, d ˆˆ R with ad - bc 6= 0.
(d) Let f be an automorphism of R2 with

Find

ax by cx + dy 3 mn nl)- f( 1) f (

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