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Find the Domain y-5=-3(x-2)

Problem

y−5=−3*(x−2)

Solution

  1. Identify the type of equation provided. The equation y−5=−3*(x−2) is a linear equation in point-slope form.

  2. Rewrite the equation in slope-intercept form by isolating y to see the function more clearly.

y−5=−3*x+6

y=−3*x+11

  1. Analyze the expression for any restrictions. A linear function of the form ƒ(x)=m*x+b is defined for all real numbers because there are no denominators containing x and no even roots of negative expressions.

  2. Determine the domain. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)


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