Find the Domain us-ge=fh

Problem

ƒ(h)=(u*s−g*e)/(ƒ*h)

Solution

1. Identify the variable of interest and the structure of the function. Since the task asks for the domain of ƒ(h) we treat h as the independent variable and u,s,g,e,ƒ as constants.

2. Determine the restriction for a rational function. A rational function is undefined when its denominator is equal to zero.

3. Set the denominator equal to zero to find the excluded value.

ƒ*h=0

4. Solve for h by dividing both sides by ƒ assuming ƒ≠0

h=0

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

Final Answer

Domain: *{[h∈ℝ,h≠0]}

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