Inverse sine is one of the inverse trigonometric functions of the sine function and it is written as sin-1x and is read as "sin inverse x". Then by the definition of inverse sine, θ = sin-1[ (opposite side) / (hypotenuse) ]
To find the domain of the function f(x)=sin−1(log2(x2+3x+4)), we need to ensure that the expression inside the sine inverse function is valid. This involves two main conditions: 1. The argument of the logarithm must be positive.2. The output of the logarithm must lie within ...
Abramova, T. Laptinskaya, Y. Tretyakov, Domain mapping of inverse photonic crystals by laser diffraction, Physics Letters A 366 (4-5) (2007) 516-522.A. S. Sinitskii, V. V. Abramova, T. V. Laptinskaya, and Yu. D. Tretyakov, Phys. Lett. A 366 , 516 (2007)....
To find the domain of the given functions, we will analyze each part step by step.Part (i): Finding the domain of
The domain and range of a relation is found as follows. Let R be the relation from a non-empty set A to a non-empty set B. The domain and range of the relation are the set of first elements and the second elements respectively in theordered pairsin relation R is called the domain....
Also, the set A is known as the domain and B is known as the co-domain of the function f. Here the domain consists of all those points where the function f is defined. Answer and Explanation: Here the given function is f(x)=6+ln(x...
The range of the secant function lies in the intervals(−∞,−1]∪[1,∞). Therefore, the domain of the inverse secant is... Learn more about this topic: Domain & Range of Trigonometric Functions | Table & Examples from Chapter 15/ Lesson 8 ...
What is the domain and range of the inverse of f(x) = 2^x? What is the range of the function f (x) = (x - 1)^2, when the domain is {-5, 0, 5}? What is the range of the function y = -2x + 6 with the domain being -1? Given f(x) = x^2 + 3x - 7, what is...
Suppose f(x) = y is a one-to-one function with domain A and range B. How is the inverse function f^{-1} defined? The function f(x) = \frac{4x + 5}{3x - 4} is one-to-one. (a) Find its inverse and check the answer.\(b) Find the domain...
Consider the inverse sine function defined by y=sin−1(x) or y=arcsin(x). What is its domain? The Domain of a Function:The set of values that can be used as input in a given function is called the domain of the function. For instance, the function f...