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Solving for the domain of a function involving a rational expression and a square root.

A hand holding a black marker writes mathematical equations on a whiteboard, including the function f(x) = 1/(7x - 30) and g(x) = √(2x + 3), with a focus on finding the domain.

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Show Answer Key & Explanations Step-by-step solution for: ❖ Finding the Domain of a Function Algebraically (No graph!) ❖

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- The expression under the square root, 2x + 3, must be greater than or equal to zero.
- Solve the inequality: 2x + 3 ≥ 0.
- Subtract 3 from both sides: 2x ≥ -3.
- Divide by 2: x ≥ -3/2.
- The domain is all real numbers x such that x ≥ -3/2.

Parent Tip: Review the logic above to help your child master the concept of finding domain algebraically worksheet.

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