Find the area of the region enclosed between f(x) = x² + x + 16 and g(x) = 2x²-x+1. Area: = (Note: The graph above represents both functions f and g but is intentionally left unlabeled.)

Q: An open box is made from a square piece of cardboard 30 inches on a side by cutting identical…

A: Given: An open box was created from a square piece of cardboard by cutting identical squares from…

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: The bar graph on the right shows the average cost of room and board at​ four-year public and private…

A:

Q: . If f f() dr 17 and | f(x) dr = 8, find f(x) dr. %3D

A:

Q: Consider the following. 4x A(x) x2 - 3x - 4 (a) State the domain of the function. O all real numbers…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The perimeter of a rectangle is 190 meters. Express the area A as a function of the length L, and…

A: The solution is given as

Q: 1. A quadratic function f is given: f(z) 6x- 12r+1. %3D a. Express f in standard form. b. Sketch a…

A: The objective is to express f in standard form ,sketch a graph of f and find the maximum or minimum…

Q: 2. Graph each function. a) f(x) = –3(x – 2)² + 5 b) f(x) = 2(x + 4)(x – 6) %3D %3D

A:

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: Write a function of a square root BLUE graph in the form: f(x) = a/x±b ± C (4, 2). |(-2, –3) (2, –7)…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

A:

Q: The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the…

A: Explained below

Q: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f + g)(t - 5) = x - 3. %3D (f + g)(t –…

A: First find the addition of the function (f + g) (x):