Find the Domain 10y=16x-5

Problem

10*y=16*x−5

Solution

1. Isolate the variable y to express the equation as a function of x

10*y=16*x−5

y=(16*x−5)/10

y=1.6*x−0.5

2. Identify the type of function. The resulting equation is a linear function, which is a type of polynomial function.

3. Determine any restrictions on the input variable x Polynomial functions do not have denominators containing x square roots of negative numbers, or logarithms of non-positive numbers.

4. Conclude that since there are no mathematical restrictions on x the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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