Solve this: What is the domain of the function gx=cosx-2x-1x-2 A - ,1∪[3, )B - ,1∪3, C [0,1)D - Maths - Relations and Functions

Question

Solve this:

What   is   the   domain   of   the  
function   g x = cos x - 2 x - 1 x - 2 ? A   - ∞ ,
1 ∪ [ 3 , ∞ ) B   - ∞ , 1 ∪ 3 , ∞ C
  [ 0 , 1 ) D   [ 1 , 3 )

Aarushi Mishra · Accepted Answer

gx=cos x-2x-1x-2Denominator should be non-zerox-1x-2≠0x-1≠0 and x-2≠0Note: a=0 iff a∈[0,1)x-1∉[0,1) and x-2∉[0,1)x∉[1,2) and x∉[2,3)x∉[1,3)Rest x can take all values⇒x∈-∞,1∪[3,∞)

Solve this: What is the domain of the function . g x = cos x - 2 x - 1 x - 2 ? A - ∞ , 1 ∪ [ 3 , ∞ ) B - ∞ , 1 ∪ 3 , ∞ C [ 0 , 1 ) D [ 1 , 3 )

Solve this:

$What is the domain of the function . g (x) = \frac{\cos [x - 2]}{[x - 1] [x - 2]} ? (A) (- \infty, 1) \cup [3, \infty) (B) (- \infty, 1) \cup (3, \infty) (C) [0, 1) (D) [1, 3)$