Find the Domain y=(7x)/3-1

Problem

y=(7*x)/3−1

Solution

1. Identify the type of function provided. The expression y=(7*x)/3−1 is a linear function, which is a specific type of polynomial function.

2. Determine if there are any restrictions on the variable x Restrictions typically occur if there is a denominator containing x (which cannot be zero) or an even root containing x (where the radicand must be non-negative).

3. Observe that the denominator in this expression is a constant, 3 and there are no square roots or logarithms.

4. Conclude that the function is defined for all real numbers because there are no values of x that would make the expression undefined.

Final Answer

Domain: *(−∞,∞)

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