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For a function g(x) = \sqrt{9 - x^2}, we can square it to find g^2(x) = 9 - x^2. Adding x^2 to both sides, we now have g^2(x) + x^2 = 9. Replace g(x) = y to get x^2 + y^2 = 9.
The square root calculator finds the square root of the given radical expression. If a given number is a perfect square, you will get a final answer in exact form. If a given number is not a perfect square, you will get a final answer in exact form and decimal form.
Simplify square root of 9-x^2. √9 − x2 9 - x 2. Rewrite 9 9 as 32 3 2. √32 −x2 3 2 - x 2. Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (a+b)(a−b) a 2 - b 2 = (a + b) (a - b) where a = 3 a = 3 and b = x b = x.
Free Square Root calculator - Find square roots of any number step-by-step.
Graph y = square root of 9-x^2. y = √9 − x2 y = 9 - x 2. Find the domain for y = √9 −x2 y = 9 - x 2 so that a list of x x values can be picked to find a list of points, which will help graphing the radical. Tap for more steps... Interval Notation: [−3,3] [- 3, 3] Set -Builder Notation: {x|− 3 ≤ x ≤ 3} {x | - 3 ≤ x ≤ 3}
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