Question

Create an expression that has the excluded values of x≠ -6 and x≠ 1/3.

Answer 1

An expression with excluded values of x≠ -6 and x≠ 1/3 is \(f(x) = \frac{9}{(x+6)(3x-1)}\). This expression shows that when x is -6 or 1/3, the denominator becomes zero, making these values undefined in the domain.

Step-by-step explanation:

To create an expression that has the excluded values of x≠ -6 and x≠ 1/3, you need to consider fractions, where these values would make the denominator zero. One such expression could be:

\(f(x) = \frac{9}{(x+6)(3x-1)}\)

This expression implies that when x equals -6 or 1/3, the denominator will be zero, which is undefined in mathematical terms, hence these values are excluded from the domain of the expression. Remember, when dealing with rational expressions, any values that make the denominator zero are considered excluded values or restrictions.