- #1
Patrickas
- 20
- 0
Homework Statement
F(X)=√x
F((F(2)-2)^2)+f(2)
What is the Solution to a Function and Roots Problem?
In summary, the conversation is about finding the value of F((F(2)-2)^2)+F(2), which simplifies to 2. The conversation includes hints and guidance on how to approach the problem.
F(X)=√x
F((F(2)-2)^2)+f(2)
- #2
tiny-tim
Science Advisor
Homework Helper
- 25,839
- 258
Hi Patrickas! 
(try using the X2 tag just above the Reply box)
(do you mean F((F(2)-2)2) + F(2) ?)
Hint: F(a2) = … ?
(try using the X2 tag just above the Reply box
)Patrickas said:
(do you mean F((F(2)-2)2) + F(2) ?)
Hint: F(a2) = … ?
- #3
Patrickas
- 20
- 0
tiny-tim said:Hi Patrickas!
(try using the X2 tag just above the Reply box
(do you mean F((F(2)-2)2) + F(2) ?)
Hint: F(a2) = … ?
Hmmm I'm guessing that the signs will change. Then i should get -√2+2+√2= 2
Right?
- #4
tiny-tim
Science Advisor
Homework Helper
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Patrickas said:
Yup!
- #5
Patrickas
- 20
- 0
tiny-tim said:Yup!
Cool! Thanks! I wonder hoe long will i remember this rule =]
1. What is a function?
A function is a mathematical concept that describes the relationship between two or more variables. It takes an input value, performs a specific operation on it, and produces an output value. In simpler terms, a function is like a machine that takes in an input and gives out a corresponding output.
2. How do I find the roots of a function?
The roots of a function are the values of the input variable that make the output value equal to zero. To find the roots of a function, you can set the function equal to zero and solve for the input variable using algebraic techniques such as factoring or the quadratic formula.
3. What are the different types of roots of a function?
There are two types of roots of a function: real roots and complex roots. Real roots are values of the input variable that make the output value equal to zero, and they are represented on the real number line. Complex roots, on the other hand, are solutions to a function that involve imaginary numbers, and they are represented in the complex plane.
4. Can a function have more than one root?
Yes, a function can have multiple roots. In fact, the number of roots a function can have is equal to its degree. For example, a quadratic function (degree 2) can have up to two roots, while a cubic function (degree 3) can have up to three roots.
5. How can I use the roots of a function to solve a problem?
The roots of a function can be used to solve a variety of problems, such as finding the x-intercepts of a graph, determining the solutions to a quadratic equation, or calculating the maximum or minimum values of a function. By understanding the relationship between a function and its roots, you can apply this knowledge to real-world scenarios and problem-solving.
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