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(a) Let f:RR be a function defined by f(x)=x2+1x,xR Is f one-to-one? (b) If f:XY and g:YZ are
functions and gf is one-to-one, must g be one-toone? Jostify your answer. (c) For all C,DY and any
function f:XY, determine whether the following is true: f1[CD]=f1[C]f1[D]

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a Let fRR be a function defined by fxx2+1xxR Is f one.pdf

  • 1. (a) Let f:RR be a function defined by f(x)=x2+1x,xR Is f one-to-one? (b) If f:XY and g:YZ are functions and gf is one-to-one, must g be one-toone? Jostify your answer. (c) For all C,DY and any function f:XY, determine whether the following is true: f1[CD]=f1[C]f1[D]