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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.