Radical Functions

Which equation is the inverse of 2(x - 2)² = 8(7 + y)?▫️

If f(x) = √1/2x-10 + 3, which inequality can be used to find the domain of f(x)?

Which equation is the inverse of y = 16x² + 1?

Which equation is the inverse of 5y + 4 = (x + 3)² + 1/2?

What is the domain of the function y = √x+6 - 7?

Which equation is the inverse of y = 2x² - 8?

Which equation is the inverse of y = 100 - x²?

Which equation can be simplified to find the inverse of y = x² - 7?

What is the domain of the square root function graphed below? . . . . . . . . . . . | . . . . . . . . . . . | _________________|_________________ . . . . . . . . . . . | . . . . . . . . . . . |______ . . . . . . . . . . . |. . . . . ------__

What is the domain of the function y = √x +4?

What is the domain of the square root function graphed below? . . . . . . . . . . . |. . . . . ._____--- . . . . . . . . . . . |. . . . ./ _________________|_________________ . . . . . . . . . . . | . . . . . . . . . . . | . . . . . . . . . . . |

If f(x) = √x-3, which inequality can be used to find the domain of f(x)?

Which equation can be simplified to find the inverse of y = 5x² + 10?

Which could be the function graphed below? . . . . . . . . . . . | . . . . . . . . . . . | _________________|____________--- . . . . . . . . . . . |. .__--- . . . . . . . . . . . |/ . . . . . . . . . . . |

Which equation can be simplified to find the inverse of y = 2x²?

If the domain of the square root function f(x) is x ≤ 7, which statement must be true?

Which describes how to graph g(x) = ³√x-5 + 7 by transforming the parent function?▫️

How many units up was the graph of f(x) = ³√x shifted to form the translation? [_________] . . . . . . . . . . . . . . . . . .________ . . . . . . . . . . . |. .----- . . . . . . . . . . . |/ . . . . .________ . . . . . . . . . . /|. .----- f(x) ________-----___|/________________ . . . . . . . . . . /| ________-----. .| . . . . . . . . . . . |

Which cube root function is always decreasing as x increases?

Which is the function g(x) for a restricted domain? . . . . . . . . . . _|_______-------- . . . . . . . ---. .| __________|______|_________________ . . . . . . . . . . . | . . . . . . . . . . . | . . . . . . . . . . . |

Which equation represents h(x)? . . . . . . . . . . . |. . . . . .________ . . . . . . . . . .___|_----- _____________/ __|________________ . . . . . . . /. . . | ___----- . . . . .| . . . . . . . . . . . |

Which is the graph of the cube root function f(x) = ³√x?

Which equation represents f(x)? . . . . . . . . . . . | ________. . . . . . | ________ -----__|________________ . . . . . . . . . . | . . . . . . . . . . . |__ . . . . . . . . . . . |. . .-----______

Which equation represents g(x)? . . . . . . . . . . . | . . . . . . . . . . . |. . . . . . . ___--- _________________|_________/______ . . . . . . . . . . . |. . ____/ . . . . . _________|-- __----. . . . . . |

Which equation represents f(x)? . . . . . . ______--|----- . . . . . / . . . . . | ______/ _________|________________ -. . . . . . . . . . .| . . . . . . . . . . . | . . . . . . . . . . . |

Which is the graph of g(x)? (reflected ro create g(x) = ⁻³√x)

What is the domain of the function y = √x?▫️

Which graph represents y = ³√x-5?

Which statement best describes f(x) = -2√x-7 + 1?

Which function has the same range as f(x) = -2√x-3 + 8?

Which function has the same domain as y = 2√x?

What is the domain of the function y = 2√x-6?

What is the range of the function y = ³√x+8?

Which of the following is the graph of y = -4√x?

What is the range of the function y = √x+5?

What is the domain of the function y = ³√x?

Which of the following is equivalent to 36⁻¹/²▫️

Which expression is equivalent to -32³/⁵?

Which expression is equivalent to (125²/125⁴/³)?

Which expression is equivalent to (256x¹⁶)¹/⁴?

Which expression is equivalent to (x²⁷y)¹/³?

Which expression is equivalent to ((4⁵/⁴ • 4¹/⁴)/4¹/²)¹/²?

Which of the following is equivalent to ⁵√13³?

Which expression is equivalent to (x⁴/³ x²/³)¹/³?

Which of the following is equivalent to (5)⁷/³?

Which expression is equivalent to ³√x⁵y?

What is the following difference? 11√45 - 4√5▫️

Which of the following is a like radical to ³√6x²?

Which of the following is a like radical to ³√7x?

What is the following sum in simplest form? √8 + 3√2 + √32

What is the simplified form of the following expression? Assume x ≥ 0 and y ≥ 0. 2(⁴√16x) - 2(⁴√2y) + 3(⁴√81x) - 4(⁴√32y)

What is the simplified form of the following expression? 7(³√2x) - 3(³√16x) - 3(³√8x)

What is the following sum? 5(³√x) + 9(³√x)

Wyatt's eye-level height is 120 ft above sea level, and Shawn's eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = √3h/2, h ≥ 0, with d being the distance they can see in miles and h being their eye-level height in feet.

Which of the following is a like radical to 3x√5?

What is the following sum? 4(⁵√x²y) + 3(⁵√x²y)

The formula s = √SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?

What is the following difference? 2ab(³√192ab²) - 5(³√81a⁴b⁵)

What is the simplified form of the following expression? Assume a ≥ 0 and c ≥ 0. 14(⁴√a⁵b²c⁴) - 7ac(⁴√ab²)

What is the following sum? 4√5 + 2√5

What is the following sum? √x²y² + 2√x³y⁴ + xy√y

What is the simplified form of the following expression? 7(³√2x)-3(³√16x)-3(³√8x)

What is the following sum? ³√125x¹⁰y¹³ + ³√27x¹⁰y¹³

What is the following product? ³√24 • ³√45▫️

What is the following product? (√14 - √3)(√12 + √7)

What is the following product? 3√2(5√6 - 7√3)

What is the following product? (x√7 - 3√8)(x√7 - 3√8)

What is the following product? √10 • √10

What is the following product? √12 • √18

What is the following simplified product? Assume x ≥ 0. 2√8x³(3√10x⁴ - x√5x²)

What is the following product? Assume x ≥ 0 and y ≥ 0. √5x⁸y² • √10x³ • √12y

What is the following product? ³√5 • √2

What is the following product? ⁴√7 • ⁴√7 •⁴√7 •⁴√7

What is the following quotient? √96/√8▫️

What is the following quotient? ³√60/³√20

What is the following quotient? √120/√30

Which expression is equivalent to √2/³√2?

What is the following quotient? √6+√11/√5+√3

To rationalize the denominator of 2√10/3√11, you should multiply the expression by which fraction?

What is the following quotient? 2-√8/4+√12

What is the following quotient? 5/√11-√3

What is the following quotient? 3√8/4√6

Multiplying 3/√17-√2 by which fraction will produce an equivalent fraction with a rational denominator?

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = √d²+h². What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?▫️

What is the solution of √x²+49 = x+5?

Which of the following is an extraneous solution of (45-3x)¹/² = x-9?

Which equation can be rewritten as x + 4 = x²? Assume x > 0

Which of the following is a radical equation?

What is the solution of x = 2 + √x-2?

Which equation is equivalent to √x²+81 = x + 10?

Which equation is equivalent to √x + 11 = 15

What is the solution of ³√x+8 = -4?

Which of the following is a radical equation?