Find the inverse of the function.f(x) =
+ 1
A. f-1(x) = (x - 1)3
B. f-1(x) = - 1
C. f-1(x) = x3 - 1
D. f-1(x) = (x + 1)3
Answer: A
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Find the center, radius, and intercepts of the circle.x2 + y2 - 2x + 2y - 10 = 0
A. (h, k) = (1, -1), r = 2
x-int: x = 1 ± ; y-int: y = -1 ±
B. (h, k) = (1, -1), r = 2
x-int: x = -1 ± ; y-int: y =1 ±
C. (h, k) = (-1, -1), r = 2
x-int: x = 1 + ; y-int: y = -1 +
D. (h, k) = (-1, 1), r = 12
x-int: x = 1 + ; y-int: y = -1 +
Use the definition of inverses to determine whether f and g are inverses.f(x) = , x ? -5; g(x) = x2 + 5
A. No B. Yes
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (?, 0); Decreasing on (0, -?) B. Increasing on (-?, 0); Decreasing on (-?, 0) C. Increasing on (0, ?); Decreasing on (-?, 0) D. Increasing on (-?, 0); Decreasing on (0, ?)
Solve the problem.The gas mileage, y, of a compact car is related to the speed, x, at which the car is driven between speeds of 40 mph and 90 mph. For example, from the graph we see that the gas mileage for the compact car is 45 miles per gallon if the car is driven at a speed of
The linear equation y = -
x + 65 relates gas mileage, y, to the speed of the car, x. Estimate the gas mileage if the compact car is traveling 88 mph.
A. 109 miles per gallon B. 53 miles per gallon C. 78 miles per gallon D. 21 miles per gallon