2. f(x)
The notation “f(x)” is used in mathematics to represent a function
The notation “f(x)” is used in mathematics to represent a function. A function is a mathematical relationship that associates each input value (represented by “x”) with a unique output value (represented by “f(x)”). It is commonly written as f(x) = … where the expression on the right side of the equation represents the rule or formula that determines the output value based on the input value.
For example, let’s say we have the function f(x) = 2x + 1. This means that for any given input value x, the output value f(x) can be obtained by multiplying the input value by 2 and adding 1 to the result.
To find the output value for a specific input, you substitute the input value into the function. For instance, if we want to find f(3), we substitute 3 into the function: f(3) = 2(3) + 1 = 6 + 1 = 7. Therefore, when the input is 3, the output is 7.
Functions are fundamental in mathematics as they allow us to model and analyze various real-world problems and mathematical concepts. They are utilized in algebra, calculus, statistics, and other branches of mathematics.
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