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TS EAMCET · Maths · Functions

The domain and range of y(x)=cosx-3 are respectively

  1. A R and [-1,1]
  2. B R and [-4,-2]
  3. C R/{0} and [0,1]
  4. D R/(2n+1)π2 and [-1,1]
Verified Solution

Answer & Solution

Correct Answer

(B) R and [-4,-2]

Step-by-step Solution

Detailed explanation

yx=cosx-3 As we know -1≤cosx≤1 ⇒-1-3≤cosx-3≤1-3 ⇒-4≤cos-3≤-2 ⇒yx∈-4,-2 cosx is defined ∀x∈R ⇒ Domain fo yx is R.
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