Let us know what your attempt is when you get it finished.Jaco Viljoen said:Homework Statement
f(x)=(√x2-3x+2)/(2x-3), g(x)=3/(√x+3) and h(x)=(x2-5x+6)/(x-2)
which of the following are true:
A)Df={x∈ℝ:x≤1 or x≥2}
B)Dg={x∈ℝ:x≥-3}
C)Dh=ℝ
Homework Equations
The Attempt at a Solution
I am only attempting now,
Functions are mathematical tools that allow us to represent relationships between variables. By defining functions f, g, and h, we can analyze and understand how these variables relate to each other.
Function f takes in a single input and produces a single output. Function g takes in two inputs and produces a single output. Function h takes in two inputs and produces two outputs. This means that f, g, and h have different domains and ranges and can be used to model different types of relationships.
Functions f, g, and h can be related through composition, which means that the output of one function can serve as the input for another function. This allows us to create more complex relationships and understand how changes in one variable affect the others.
Functions have certain restrictions in terms of their domains and ranges. This means that not all values of the input variable can produce valid outputs. Additionally, functions can only represent certain types of relationships and may not be suitable for all types of data or situations.
Functions are widely used in various fields of science and engineering to model and analyze real-world phenomena. For example, they can be used to predict the trajectory of a projectile, describe the growth of a population, or analyze the behavior of a chemical reaction. By understanding the relationships between variables, we can make informed decisions and solve complex problems.