Find the Domain 8y=5x-4

Problem

8*y=5*x−4

Solution

1. Solve the equation for y to express it as a function of x

8*y=5*x−4

y=(5*x−4)/8

y=5/8*x−1/2

2. Identify the type of function. This is a linear function, which is a specific type of polynomial function.

3. Determine if there are any restrictions on the input x In a polynomial function, there are no denominators containing x and no even roots of expressions containing x

4. Conclude that the function is defined for all real numbers because there are no values of x that would result in division by zero or an undefined operation.

Final Answer

Domain: *(−∞,∞)

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