Domain of the function sin -1 log2 x 2 / 2 is
WebAlgebra Find the Domain and Range y = log base 2 of x Step 1 Setthe argumentin greater than to find where the expressionis defined. Step 2 The domainis all values of that make … 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)
Domain of the function sin -1 log2 x 2 / 2 is
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WebDec 25, 2024 · But a function must have a one-to-one mapping, and this does not, so hence we must 'truncate' the graph, so that it has a one-to-one mapping: WebAug 20, 2024 · asked Aug 20, 2024 in Mathematics by Mounindara (56.5k points) closed Aug 21, 2024 by Mounindara. The domain of the function. f (x) = sin−1[2x2 − 3] + log2 …
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...
WebFind the domain of the function f x. Consider the given function as, f x = sin-1 log 2 x 2 2. Defined the above function as, ⇒-1 ≤ sin-1 x ≤ 1 ⇒-1 ≤ sin-1 log 2 x 2 2 ≤ 1 ⇒-1 ≤ … 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 …
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
WebTrigonometry. Find the Domain sin (2x) sin(2x) sin ( 2 x) The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real … toyotaof annarbor.comWeb2 Answers Sorted by: 1 The range of sin ( x − 3), where x is any real number is [-1, 1]. The domain of log p is p > 0, since log is not defined for real numbers less than or equal to 0. So the range on log ( sin ( x − 3)) is (-infinity, log (1)) EDIT: based on question edit domain has to be where 0 < sin ( x − 3) ≤ 1 and where ( 16 − x 2) ≥ 0 toyotaoferie.comWebWe're asked to solve the log of x plus log of 3 is equal to 2 log of 4 minus log of 2. So let me just rewrite it. So we have the log of x plus the log of 3 is equal to 2 times the log of 4 minus the log of 2, or the logarithm of 2. And this is a reminder. Whenever you see a logarithm written without a base, the implicit base is 10. toyotaoflvWebMar 2, 2024 · If the natural domain of the function f(x) = √(log2((x - 2)/(3 - x)) is [a, b), then find the value of (2a – b) is asked Nov 1, 2024 in Sets, relations and functions by SumanMandal ( 54.9k points) toyotaof northaustin.comWebSolution: Given function, f (x) = sin−1 [log2(2x)] Since, −1 ≤ sinx ≤ −1. ⇒ −1 ≤ log2 (2x) ≤ 1. ⇒ 2−1 ≤ x/2 ≤ 21. ⇒ 20 ≤ x ≤ 22. ⇒ 1 ≤ x ≤ 4. Required domain is x ∈ [1,4]. toyotaofhollywood.comWebThe 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 toyotaofkaty.comWebQ: 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. toyotaofportland.com