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KCET2020MathematicsInverse Trigonometric Functions

Let f:[2, ) R be the function defined f(x)=x²-4 x+5 , then the ranges of f is

Options

  1. A(- , )
  2. B[1, )
  3. C(1, )
  4. D[5, )

Correct answer

B. [1, )

Step-by-step solution

We have, aligned &f(x)=x²-4 x+5 &f(x)=x²-4 x+4+1 &f(x)=(x-2)²+1 aligned Range of f(x) is [1, ) .

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