Domain of the function sin -1 log2 x 2 / 2 is
WebApr 9, 2024 · Solution For The domain of the function f(x)=sin−1[log2 (x/2)] is (where [.] denotes G.I.F) \[ [1,4] \] \[ [-4,1] \] [1,8) None Web2. Problem: Find domain of sin − 1 [ log 2 ( x 2)] Solution: log 2 ( x 2) is defined for x 2 > 0. log 2 ( x 2) is defined for x > 0. Also domain of sin − 1 x is [ − 1, 1] When x = 1 ,then …
Domain of the function sin -1 log2 x 2 / 2 is
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WebDomain of a Function Calculator Step 1: Enter the Function you want to domain into the editor. The domain calculator allows you to take a simple or complex function and find …
WebEnter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for the … WebQ: log2 Find the domain of the function f(x) = sin 2 A: Recall: If logbx=y is equivalent to by=x . Domain of inverse function of sine is -1,1.
WebFind the domain of function f defined by f (x) = log2(x2+ 5) Solution to Example 2 The argument of log2(x2+ 5) which is x2+ 5 is always greater than zero and therefore positive. Hence the domain of the given function is given by the interval: (-∞ , +∞) Matched Problem 2 Find the domain of function f defined by: f (x) = ln (3 + x4) Example 3 WebThe domain of sin −1[log 2(x 2/2)] is A [2,1] B [1,2] C [−2,−1]∪[1,2] D [−2,0] Medium Solution Verified by Toppr Correct option is C) sin −1(x)domain:x∈[−1,1] ∴ domain of sin −1[log 2 2x 2] ∴log 2 2x 2∈[−1,1] −1≤log 2 2x 2≤1 and 21≤ 2x 2≤2 1≤x 2≤4 For x 2≥1 x∈[−∞,−1]∪[1,∞] ........... (i) For x 2≤4 x∈[−2,2] ................. (ii)
WebAnswer: Since the logarithmic function is always positive for x>0 .From this you can conclude that the domain of sin^-1 is positive integers. Now the range of log will be domain of sin^-1 x .Range of log will be (0,infinity ).But we know that the domain of sin^-1 can be from -1,1 . Hence in your...
WebFunctions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited. Sort by: eat like a champ ukWebProperties as a real function. Domain. Range. Bijectivity. Series expansion at x=0. ... log(2, 1 + x) > 0; table d^n/dx^n (log(2, 1 + x)) for n = 1 ... 4; domain and range log(2, 1 + x) random animal curve; log_10(2, 1 + x) Have a question about using Wolfram Alpha? Contact Pro Premium Expert Support » ... eat like a fish bren smithWebSep 14, 2024 · Find the domain of log2(x^2) companies in circleville ohioWebHere are some examples illustrating how to ask for the domain and range. domain of log(x) (x^2+1)/(x^2-1) domain; find the domain of 1/(e^(1/x)-1) function domain: square root of cos(x) ... (range). The sine function takes the reals (domain) to the closed interval (range). (Both of these functions can be extended so that their domains are the ... companies in china to invest inWebOct 31, 2024 · Best answer Given f (x) = log2(2 – log√2 (16sin2x + 1)) f is defined for (i) 2 – log√2(16 sin2x + 1) > 0 (ii) (16 sin2x + 1) > 0 which is true for all x in R Now, from (i), we get, (16 sin2x + 1) < 2 0 ≤ (16 sin2 x) < 1 1 ≤ (16 sin2x + 1) < 2 log√2(1) ≤ log√2 (16sin2x + 1) < log√2 (2) 0 ≤ log√2 (16 sin2x + 1) < 2 –2 < –log√2(16sin2x + 1) ≤ 0 eat like a chefWebThe domain of f (x) = sin-1 [Log2 ( (x /2))] is - Tardigrade Q. The domain of f (x) = sin−1[Log2(2x)] is 3608 57 KCET KCET 2011 Inverse Trigonometric Functions Report Error A 0 ≤ x ≤ 1 B 0 ≤ x ≤ 4 C 1 ≤ x ≤ 4 D 4 ≤ x ≤ 6 Solution: Given function, f (x) = sin−1 [log2(2x)] Since, −1 ≤ sinx ≤ −1 ⇒ −1 ≤ log2 (2x) ≤ 1 ⇒ 2−1 ≤ x/2 ≤ 21 ⇒ 20 ≤ x ≤ 22 companies in cincinnati that hire felonsWeb>> The domain of f (x) = sin^-1 {log3 (x^2/3 Question The domain of f(x)=sin −1{log 3( 3x 2)} is A (−∞,3] B [3,∞) C [−3,−1]∪[1,3] D (−9,−1)∪(1,9) Medium Solution Verified by Toppr Correct option is C) sin −1x is defined if x∈[−1,1] ⇒−1≤log 3 3x 2≤1 ⇒ 31≤ 3x 2≤3 1≤x 2≤9 ⇒x∈[−1,−3]∪[1,3] ∴x∈[−3,−1]∪[1,3] Was this answer helpful? 0 0 Similar questions companies in chisipite harare