Mathematics
Functions
Easy

Question

The table represents the number of weeks & the balance in the account.
Week
0
1
2
3
4
5
Money in Account
4
6
8
10
12
14
The amount in the account in 7th week is

  1. 10
  2. 14
  3. 16
  4. 18

The correct answer is: 18

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text  If  end text f colon R not stretchy rightwards arrow R comma f left parenthesis x right parenthesis equals x cubed plus 3 comma text  and  end text g colon R not stretchy rightwards arrow R comma g left parenthesis x right parenthesis equals 2 x plus 1 text  then  end text f to the power of negative 1 end exponent o g to the power of negative 1 end exponent left parenthesis 23 right parenthesis text  equals  end text

text  If  end text f colon R not stretchy rightwards arrow R comma f left parenthesis x right parenthesis equals x cubed plus 3 comma text  and  end text g colon R not stretchy rightwards arrow R comma g left parenthesis x right parenthesis equals 2 x plus 1 text  then  end text f to the power of negative 1 end exponent o g to the power of negative 1 end exponent left parenthesis 23 right parenthesis text  equals  end text

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text  Let  end text f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction text  then  end text f left square bracket f left parenthesis x right parenthesis right square bracket equals x text  provided that  end text

text  Let  end text f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction text  then  end text f left square bracket f left parenthesis x right parenthesis right square bracket equals x text  provided that  end text

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text  If the function  end text f colon R minus left curly bracket 1 comma negative 1 right curly bracket not stretchy rightwards arrow A text  defined by  end text f left parenthesis x right parenthesis equals fraction numerator x squared over denominator 1 minus x squared end fraction comma text end textis surjective then A =

text  If the function  end text f colon R minus left curly bracket 1 comma negative 1 right curly bracket not stretchy rightwards arrow A text  defined by  end text f left parenthesis x right parenthesis equals fraction numerator x squared over denominator 1 minus x squared end fraction comma text end textis surjective then A =

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