Find the Domain y=3/(4x^2)+1

Problem

y=3/(4*x2)+1

Solution

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

2. Set the denominator of the fraction to zero to find the excluded values.

4*x2=0

3. Solve for x by dividing both sides by 4

x2=0

4. Take the square root of both sides.

x=0

5. Determine the domain by excluding the value where the denominator is zero. The function is defined for all real numbers except x=0

6. Express the domain in interval notation.

(−∞,0)∪(0,∞)

Final Answer

Domain:(−∞,0)∪(0,∞)

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