Find the Domain y=3/2x-9/4

Problem

y=3/(2*x)−9/4

Solution

1. Identify the restriction for the function. Since the expression contains a fraction with a variable in the denominator, the denominator cannot be equal to zero.

2. Set the denominator of the term containing x to be non-zero to find the excluded value.

2*x≠0

3. Solve for x by dividing both sides by 2

x≠0

4. Determine the domain based on the restriction. The function is defined for all real numbers except x=0

Final Answer

Domain: *{x|x∈ℝ,x≠0}

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