Find the Domain y+5=2(x+2)

Problem

y+5=2*(x+2)

Solution

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

y+5=2*x+4

y=2*x+4−5

y=2*x−1

2. Identify the type of function. The equation y=2*x−1 is a linear function.

3. Determine any restrictions on the input variable x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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