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Loppyfoot
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Homework Statement
If f(x) = x3+3x2+4x+5 and g(x)=5, then g(f(x)) = ?
Homework Equations
The Attempt at a Solution
I don't know if I am correct.
g(f(x)) =
g(x3+3x2+4x+5)= 225?
I plugged 5 into the equation. Am I right?
Loppyfoot said:Homework Statement
If f(x) = x3+3x2+4x+5 and g(x)=5, then g(f(x)) = ?
Homework Equations
The Attempt at a Solution
I don't know if I am correct.
g(f(x)) =
g(x3+3x2+4x+5)= 225?
I plugged 5 into the equation. Am I right?
A composite function is a function that is formed by the composition of two or more functions. In other words, the output of one function becomes the input of another function.
To solve a composite function, you need to substitute the inner function into the outer function. For example, in the equation g(f(x)) = 225, you would substitute f(x) for x in the function g. This will give you a new equation with one variable, which you can then solve for.
Composite functions are used to represent complex relationships between variables. They allow us to break down a complex problem into smaller, more manageable parts and analyze the relationship between them.
Yes, a composite function can have any number of functions. As long as the output of one function becomes the input of another, the functions can be composed together to create a composite function.
A composite function is defined if the range of the inner function is contained within the domain of the outer function. In other words, the output of the inner function must be a valid input for the outer function.