Mathematics
Grade10
Easy

Question

Write straight f left parenthesis straight x right parenthesis space equals space square root of 5 space minus space straight x squared end root as the composition of two functions.

  1. straight p left parenthesis straight x right parenthesis space equals space 5 space minus space straight x squared space comma space straight q left parenthesis straight x right parenthesis space equals space square root of straight x space minus space 1 end root
  2. straight p left parenthesis straight x right parenthesis space equals space 5 space minus space straight x squared space comma space straight q left parenthesis straight x right parenthesis space equals space square root of straight x
  3. straight p left parenthesis straight x right parenthesis space equals space 5 straight x squared space comma space straight q left parenthesis straight x right parenthesis space equals space square root of straight x
  4. straight p left parenthesis straight x right parenthesis space equals space 5 space plus space straight x squared space comma space straight q left parenthesis straight x right parenthesis space equals space square root of straight x

Hint:

In this question, we have to find straight f left parenthesis straight x right parenthesis space equals space square root of 5 space minus space straight x squared end root as the composition of two functions. A composite function is a function created when one function is used as the input value for another function i.e., a function written inside another function.

The correct answer is: straight p left parenthesis straight x right parenthesis space equals space 5 space minus space straight x squared space comma space straight q left parenthesis straight x right parenthesis space equals space square root of straight x


    text  Let  end text straight p left parenthesis straight x right parenthesis space equals space 5 space minus space straight x squared space comma space straight q left parenthesis straight x right parenthesis space equals space square root of straight x
straight q left parenthesis straight p left parenthesis straight x right parenthesis right parenthesis space equals space straight q open parentheses 5 space minus space straight x squared close parentheses space equals space square root of 5 space minus space straight x squared end root

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