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Find the Domain f(x)=45-87x-78

Problem

ƒ(x)=45−87*x−78

Solution

  1. Identify the type of function. The given expression ƒ(x)=45−87*x−78 is a linear function, which is a specific type of polynomial.

  2. Simplify the expression by combining the constant terms.

ƒ(x)=−87*x−33

  1. Determine the restrictions on the variable x Polynomial functions do not contain any operations that restrict the input, such as division by zero or taking the square root of a negative number.

  2. Conclude that the function is defined for all real numbers. In interval notation, this is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)


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