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Asked by adjacentcalliber10 | 09 May, 2019, 23:52: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals fraction numerator 1 over denominator 2 minus straight x end fraction
straight f left parenthesis straight f left parenthesis straight x right parenthesis right parenthesis equals fraction numerator 1 over denominator 2 minus fraction numerator 1 over denominator 2 minus straight x end fraction end fraction equals fraction numerator 2 minus straight x over denominator 3 minus 2 straight x end fraction
straight g left parenthesis straight x right parenthesis equals fraction numerator straight f left parenthesis straight f left parenthesis straight x right parenthesis right parenthesis over denominator 3 straight f left parenthesis straight f left parenthesis straight x right parenthesis right parenthesis minus 1 end fraction
straight g left parenthesis straight x right parenthesis equals fraction numerator fraction numerator 2 minus straight x over denominator 3 minus 2 straight x end fraction over denominator 3 cross times fraction numerator 2 minus straight x over denominator 3 minus 2 straight x end fraction minus 1 end fraction equals fraction numerator 2 minus straight x over denominator 3 minus straight x end fraction
At space straight x equals 3 space straight g left parenthesis straight x right parenthesis space is space discontinuous.
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