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AP EAMCET202125 Aug 2021Evening ShiftMathematicsFunctionsActual

What is the range the function h(x)= x-2 x+3 ?

Options

  1. A(- , 2) (2, )
  2. B(- , 1) (1, )
  3. C(- ,-3) (-3, )
  4. D(- ,-1) (-1, )

Correct answer

B. (- , 1) (1, )

Step-by-step solution

To find, range of the function h(x)= x-2 x+3 Let h(x)=y i.e. set of possible values of y will give the range of h(x) . aligned & & x-2 x+3 & =y & & x-2 & =x y+3 y & & x-x y & =3 y+2 & & x & = 3 y+2 1-y aligned which is not defined for y=1 Hence, range =R- 1 or (- ,-1) (1, )

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