- #1
nukeman
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Homework Statement
The image has the question I don't quite understand!
Homework Equations
The Attempt at a Solution
I understand how to get √(√2 - x) but I don't get how they end up with: 4√2 - x
?
Last edited:
Your notation is incorrect. This is what you wrote:nukeman said:Homework Statement
The image has the question I don't quite understand!
Homework Equations
The Attempt at a Solution
I understand how to get √(√2 - x) but I don't get how they end up with: 4√2 - x
Mark44 said:Your notation is incorrect. This is what you wrote:
$$ \sqrt{\sqrt{2} - x}$$
What you should have written is
$$ \sqrt{\sqrt{2-x}}$$
Without using LaTeX, as I did, you could have written √(√(2 - x))
Do you see the difference?
An F of G function, also known as a composite function, is a mathematical expression where one function is applied to the output of another function. It is denoted as f(g(x)), where the output of g(x) is used as the input for f(x).
To solve an F of G function with a square root inside a square root, you will need to use the chain rule. First, you need to find the derivative of the outer function. Then, you need to multiply it by the derivative of the inner function. Finally, substitute the inner function back into the original equation and simplify.
Yes, it is possible to simplify an F of G function with a square root inside a square root. This can be done by using algebraic manipulation and simplifying the expression until there is no longer a square root inside a square root.
F of G functions with square roots are commonly used in physics and engineering, particularly in the study of motion and forces. They can also be applied in finance and economics, for example in compound interest calculations.
When working with F of G functions with square roots, it is important to note that the inner function must always be non-negative. This is because the square root function only takes the positive square root of a number. Additionally, the domain of the inner function must be contained within the domain of the outer function for the composite function to be defined.