Let f:$$($$−∞,$$0$$]→[$$1$$,∞$$)$$ be defined as $$f(x)=(1+$$−$$x)$$−$$($$−x−$$x)$$, then $$f(x)$$ is

Correct option is 2injective as well as surjective

Questions

$Let f : (- \infty, 0] \to [1, \infty) be defined as$ $f (x) = (1 + \sqrt{- x}) - (\sqrt{- x} - x), then f (x) is$

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detailed solution

Correct option is B

f(x)=(1+−x)−(−x−x)=1−x,x≤0 Then 1−x≥1Hence function is injective and surjective

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Let f:(−∞,0]→[1,∞) be defined as f(x)=(1+−x)−(−x−x), then f(x) is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$Let f : (- \infty, 0] \to [1, \infty) be defined as$ $f (x) = (1 + \sqrt{- x}) - (\sqrt{- x} - x), then f (x) is$