Mathematics
Grade10
Easy

Question

What is the range of the inverse of f left parenthesis x right parenthesis equals square root of negative space a x space plus space b end root space minus space c , where  and  are real numbers?

  1. y space greater or equal than space a over b  
  2. y space less or equal than space b over a
  3. y space greater or equal than space minus space b over a
  4. y space greater or equal than space c

hintHint:

In this question first we have to the inverse function for which we will switch x and y and then obtain y in terms of x. After that we have to find the range of the inverse function.

The correct answer is: y space less or equal than space b over a


    Inverse of the function f left parenthesis x right parenthesis equals square root of negative space a x space plus space b end root space minus space c is given by:
    f to the power of negative 1 end exponent left parenthesis x right parenthesis space equals space fraction numerator b space minus space left parenthesis x space plus space c right parenthesis squared over denominator a end fraction
    So, the range of f to the power of negative 1 end exponent left parenthesis x right parenthesis text  is   end text open parentheses negative space straight infinity space comma b over a close square brackets

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