Find the Domain x=y+0.25y

Problem

x=y+0.25*y

Solution

1. Simplify the expression by combining the like terms on the right side of the equation.

x=1.25*y

2. Solve for y in terms of x to determine if there are any restrictions on the input variable x

y=x/1.25

3. Identify any values of x that would make the expression undefined, such as division by zero or taking the square root of a negative number.

y=0.8*x

4. Determine the domain based on the resulting linear function, which is defined for all real numbers.

Domain=(−∞,∞)

Final Answer

Domain of *x=y+0.25*y* is *(−∞,∞)

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