Define the function f : R {0} R by f(x) = -- (a) Sketch the...

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Define the function f : R \ {0} R by f(x) = -- (a) Sketch the graph of y = f(x). (b) Find the range of f. (c) Determine whether or not f is bijective. (d) Define a function g: R\{0,1}R by g(x) = f(x). Show that g can be written in the form g(x) = x+ where a and b are constants. (e) Show for any xER\{0,1} that foo(x) = x. ax+b Define the function f : R \ {0} R by f(x) = -- (a) Sketch the graph of y = f(x). (b) Find the range of f. (c) Determine whether or not f is bijective. (d) Define a function g: R\{0,1}R by g(x) = f(x). Show that g can be written in the form g(x) = x+ where a and b are constants. (e) Show for any xER\{0,1} that foo(x) = x. ax+b