TS EAMCET · Maths · Quadratic Equation
The range of the function \(f(x)=-\sqrt{-x^2-6 x-5}\) is
- A \([-2,0]\)
- B \([0,2]\)
- C \((-\infty,-2]\)
- D \([-2,2]\)
Answer & Solution
Correct Answer
(A) \([-2,0]\)
Step-by-step Solution
Detailed explanation
We have, \[ f(x)=-\sqrt{-x^2-6 x-5} \] Let \[ \begin{aligned} & y=f(x) \\ & y=-\sqrt{-x^2-6 x-5} \end{aligned} \] \[ \Rightarrow \quad y=-\sqrt{-x^2-6 x-5} \] \[ \Rightarrow \quad y^2=-x^2-6 x-5 \]…
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