Find the Domain 6=3x-2y

Problem

6=3*x−2*y

Solution

1. Identify the type of equation. The given equation 6 = 3x - 2yi*s(a)*l*i*n*e*a*r*e*q*u*a*t*i*o*n*i*n*t*w*o*v*a*r*i*a*b*l*e*s,a*n*d$.

2. Solve for y to express the equation in slope-intercept form.

2*y=3*x−6

y=3/2*x−3

3. Analyze the resulting function ƒ(x)=3/2*x−3 This is a polynomial function of degree 1.

4. Determine if there are any restrictions. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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