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The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 73. Express r as a function of V, and find the radius of a sphere with volume of 500 cubic feet. Round your answer for the radius to two decimal places. Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Include a multiplication sign between symbols. For example, a * π. r(V) = A sphere with volume 500 cubic feet has radius Number feet.

Find the inverse of the function on the given domain. f-¹ (x) = f(x) = (x-17)2, [17, ∞)

The circumference C of a circle is a function of its radius given by C(r) = 2πr. a. Express the radius of a circle as a function of its circumference. Call this function r (C). Enter the exact answer. Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). r(C)= b. Find r (247) and interpret its meaning. r (24) = Number The radius of a circle with a circumference of 247 is r (24T). The radius of a circle with a circumference of r (247) is 24.

Use function composition to determine if f (x) and g(x) are inverse functions. O f(x)=√x-1 and g(x) = x³ + 1 Yes, they are inverse functions. No, they are not inverse functions. Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3,5,9, and 14 that show the level of detail that is expected in your explanations.

Write an equation for a rational function with the given characteristics. Vertical asymptotes at x = -2 and x = 5, x-intercepts at (-4,0) and (2,0), horizontal asymptote at y=-6 Enclose numerators and denominators in parentheses. For example, (a - b)/(1+n). Include a multiplication sign between symbols. For example, a * x. f(x) = Note: There is a sample student explanation to this question given in the feedback to this question.

Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph. Enter the intercepts as points, (a, b). The z-intercept is The y-intercept is The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or z+1; z-1). The order of the list does not matter. Vertical asymptotes: ZE Horizontal or slant asymptote: y= 10 Select the correct sketch of the function. 219 f(2)=2²-2-12 22-9 Ail y 46 8 10 Submit Assignment

Find the - and y-intercepts for the function. Enter your answers as points, (a, b). The -intercept is (-4.0) The y-intercept is (0,4/25) f(x) = x+4 z²+25 Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations.

Solve the inequality involving absolute value. Enter the exact answer in interval notation. x-2+62 13 To enter oo, type infinity. To enter U, type U. Show your work and explain, in your own words, how you arrived at your answers. There ar sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail tha is expected in your explanations. Equation Editor 温 A- A-T BIUS X, x¹ Styles ▾ Font Size