Find the Domain x=4y

Problem

x=4*y

Solution

1. Rewrite the equation in terms of y to express it as a function of x

y=x/4

2. Identify the type of function. The expression x/4 is a linear function, which is a specific type of polynomial function.

3. Determine any restrictions on the input x Since there are no variables in a denominator that could cause division by zero and no square roots of negative numbers, the function is defined for all real numbers.

4. Express the domain in interval notation. Since there are no restrictions, the domain includes all values from negative infinity to positive infinity.

(−∞,∞)

Final Answer

Domain of *x=4*y:(−∞,∞)

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