Find the Domain y=gx+4

Problem

y=g/(x+4)

Solution

1. Identify the type of function, which is a rational function where the variable x is in the denominator.

2. Determine the restriction for the domain by setting the denominator equal to zero, as division by zero is undefined.

x+4=0

3. Solve for x to find the value that must be excluded from the domain.

x=−4

4. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{x|x∈ℝ,x≠−4}

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