Find the Domain 2y-1=3x+7

Problem

2*y−1=3*x+7

Solution

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

2. Add 1 to both sides of the equation.

2*y=3*x+8

3. Divide both sides by 2 to solve for y

y=(3*x+8)/2

4. Simplify the expression into slope-intercept form.

y=3/2*x+4

5. Identify the type of function. Since this is a linear function, there are no square roots of negative numbers or divisions by zero.

6. Determine the domain. For all linear functions of the form y=m*x+b the input x can be any real number.

Final Answer

Domain: *(−∞,∞)

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