what is the meaning of g(x)

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In mathematics, “g(x)” represents a function that operates on the variable “x.” It is commonly used to define a second function or a transformation of the original function “f(x).”

Function Transformation

The function “g(x)” can represent various operations applied to the input variable “x,” such as shifting, scaling, or modifying the original function.

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Graphical Interpretation

The graph of “g(x)” can illustrate how the new function differs from the original function “f(x)” based on the applied transformation.

Composite Functions

Functions can also be composed by applying one function to the output of another, often represented as “(g ∘ f)(x)” or “g(f(x)).”

Conclusion

“g(x)” is a versatile mathematical concept used to represent function transformations and operations on a given input variable.

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