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FPMT0107_Fall24

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Given the function   f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left columnspacing 1.4ex end attributes row cell 3 x minus 5 end cell cell f o r space space space x less than 0 end cell row cell x squared minus 1 end cell cell f o r space space space x greater or equal than 0 end cell end table close space space space space a n d space space space space space space g left parenthesis x right parenthesis space equals space 2 minus x squared.  Find the value of    left parenthesis g ring operator f right parenthesis left parenthesis negative 1 right parenthesis.

 

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If  f left parenthesis x right parenthesis equals fraction numerator 5 over denominator x squared minus 4 end fraction  and  g left parenthesis x right parenthesis equals x squared plus 2 x,  find the domain of open parentheses f g close parentheses left parenthesis x right parenthesis.

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Analyze the graph of function bold italic f below.  

Which of the following statements is TRUE ?

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Which of the following DOES NOT define bold italic y as a function of bold italic x?

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Find the inverse of the function   f left parenthesis x right parenthesis space equals space fraction numerator 5 x plus 3 over denominator 2 minus 7 x end fraction.

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Find the equilibrium point open parentheses q comma space p close parentheses of a product, whose demand and supply equations are  

                                    2 p equals 40 minus q   and   3 p equals 33 plus 3 q  respectively, 

 where p is the price per unit and q is the quantity.

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