The simplified equation of the given Arithmetic function (f- g)(x) is:
-x² + 3x + 7.
<h3>Arithmetic function describe as:</h3>
Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
<h3>Which of the following is not an arithmetic function?</h3>
Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.
<h3>According to the given information:</h3>
Given:
f(x) = 3x+1
g(x)=x²-6
(f- g)(x) =
Substituting the value we get:
(f - g)(x) = (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
The simplified equation of the given Arithmetic function (f- g)(x) is = -x² + 3x + 7.
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