Function Decomposition Given the composition h(æ) = f(g(x)) |3D If h(x) = (x + 7)8 and f(æ) = a, find the function g(æ). g(x)=

Q: World Population A low-projection scenario for worldpopulation for the years 1995–2150 by the…

A: Given equation,  y = -0.36x2 + 38.52x + 5822.86 The above equation describes World population in…

Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

Q: f(x) = xlnx    Find the global minimum and global maximun of the function over the domain or show…

A:

Q: F(x)=-x^2+4x+200 Find the maximal profit

A: Differentiate given function and find value of x and put value in function for maximal profit

Q: A quadratic function f is given. f(x) = 4x2 + 8x (a) Express f in transformation form. **Please…

A: Dear subscribers, This question contains multiple subparts and you have not asked any specific part…

Q: The function f(x)=-2x^3+39x^2-240x+4 has one local minimum and one local maximum. This function has…

A:

Q: A quadratic function has its vertex at the point( – 5, 5). The function passes through the point ( –…

A:

Q: POLYNOMIAL FUNCTION. Identify the smallest upper bound and largest lower bound. 5. t(x) = x? – 4x +…

A: Simply find the derivation make it zero ..

Q: Summative test x2-2x-8 II. Find the following and show your solution. f(x) = %3D x2-4 Domain: Range:…

A: This is a problem related to function part. Horizontal asymptote can be calculate by putting left…

Q: An open box is to be made out of a 10-inch by 16-inch piece of cardboard by cutting out squares of…

A: Given a piece of cardboard which dimensions has 10 inch by 16 inch

Q: Discuss the cases of Gaussian elimination method. • Determine the domain: 10 4 f(x) =- x3 – 64 Write…

A:

Q: Boxes are made from rectangular cardboards 6 inches by 14 inches. To form the box, squares are to be…

A:

Q: Farmers use a certain plant food costing $4.00 per ounce to help them in growing oranges. It is…

A: Cost for 1 Ounce  of plant food = $4 Cost of x ounces of plant food = $ 4x Number of crates of…

Q: 27. Using x-intercepts and two test points, graph the quartic function: y = (x – 6)²(x + 2)(x – 2)…

A: We have to find the graph

Q: A quadratic function f(x) has its vertex at the point (1, −4) and one of its x-intercepts is (3, 0).…

A: A quadratic function f(x) has its vertex at the point (1,-4) and oneof its x-intercepts is (3,0)The…

Q: nolx +1, x 2 0 l 2x + 1, x 1 Graphing a Function In Exerci aranh the func

A:

Q: Power Function Derivatives Matching -15x - 100x-11 -48x- 12 (-3* - 10:-10) 2x- 42

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Analyze the polynomial function f(x) =x° +0.4x - 1.6542x-0.44444. Complete parts (a) through (h).…

A: Given function is                                             f(x)=x3+0.4x2-1.6542x-0.44444 Graph

Q: f (x) • (5+x°) (x°+ 1)k (x² + 1)'½ (メー)

A: Given: f(x)=5+x212x3+112x-12

Q: The function f(x)=6x+6x^−1fhas one local minimum and one local maximum. This function has a local…

A:

Q: 50. Minimum of a Sixth-Degree Polynomial Find the minimum value of the function f(x) = 2 + 16x³ +…

A: To find: The minimum value of  the function f(x)=2+16x3+4x6

Q: The figure shows a rectangle with two vertices on a semicircle of radius 2 and two vertices on the…

A: according to given figure all four vertices of rectangle is x,y,-x,y,x,0,-x,0 where y=4-x2 so,…

Q: The function f(x)=2x^3−36x^2+162x+7 has one local minimum and one local maximum. This function has a…

A: NOTE: Refresh your page if you can't see any equations. . to find the critical point, take…

Q: POLYNOMIAL FUNCTION. Identify the smallest upper bound and largest lower bound. 4. h(x) = x³ – 5x² –…

A:

Q: The function f(x) = 4 + 4x + 16x -1 has one local minimum and one local maximum. This function has a…

A:

Q: Polynomial passing through the points (1.3), (2.7), (3.14), (4.17), (5.30), (6.33) Estimate its…

A: Introduction: When the x-data points are equally spaced, in that case, we apply Lagrange or Newton's…

Q: POLYNOMIAL FUNCTION. Identify the smallest upper bound and largest lower bo 7. g(x) = x³ + 8x² + x –…

A:

Q: limits justifying 1.E valvate the (l answers with CalcUlativns or expianution- part Ai lim x²-X-6…

A: Topic = Limits

Q: Rewrite the quadratic function in vertex form (also known as standard form) f(x)=x^2−3x

A: The vertex form of a quadratic function is given by  f(x) = a(x-h)2 + k, where (h, k) is the vertex…

Q: Quadratic function in standard form f(x)=x2 -6x+10 vertex is: Axis of symetry is:

A: The vertex of a quadratic equation ax2+bx+c is given by

Q: 50. Minimum of a Sixth-Degree Polynomial Find the minimumvalue of the function

A: Minimum of a Sixth - Degree Polynomial To find the minimum value of the function…

Q: The function f(x)=2x3-27x2+48x+2 has one local minimum and one local maximum. Use a graph of the…

A:

Q: Polynomial functions can be modelled both algebraically (standard form) and graphicallyDiscuss what…

A: The solution for the above question is as shown below.

Q: x2-4 3. Use the guidelines for sketching the curve f (x) = n (a-4) In x²-3x-4/ %3D

A: we have to plot graph

Q: uadratic function f is given. f(x) = 4x2 + 16x + 1 (a) Express f in standard form. f(x) =

A: The given quadratic function is f(x)=4x2+16x+1 ................(1)

Q: The function f(x) = 2x° – 30x² + 96x + 8 has one local minimum and one local maximum. %3D This…

A: The function f(x) has local maxima or minima at critical point which are the roots of f'(x) = 0  For…

Q: d) The Closed Interval Method is used to determine local minimums and maximums in an interval. e)…

A: (d) TRUE. explanation: since in the closed interval method we  step 1 we need to find the value of f…

Q: local max 2 3

A: Given graph of y=f'x

Q: The function f(x) = 2x -27x2 +48x +8 has one local minimum and one local maximum. Use a graph of the…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: Finding the Zeros of a Function InExercises 15–26, find the zeros of the functionalgebraically.15.…

A: " Since you have posted a question with multiple sub - parts, we will solve three sub - parts for…

Q: The function f(x) = 2x° – 30x² + 126x + 9 has one local minimum and one local maximum. This function…

A:

Q: POLYNOMIAL FUNCTION. Identify the smallest upper bound and largest lower bound. 1. d(x) = x – x² –…

A:

Q: The figure shows a rectangle with two vertices on a semicircle of radius 3 and two vertices on the…

A: The figure shows a rectangle with two vertices on a semicircle of radius 3 and two vertices on the…

Q: A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (–6,…

A:

Q: A quadratic function is given. f(x) = x2 + 6x (a) Express the quadratic function in standard form.…

A: The standard form of quadratic equation is fx=ax2+bx+c.

Q: The function f(x)=−2x^3+36x^2−162x+2 has one local minimum and one local maximum. This function has…

A: use the second order derivative test.

Q: Revenue The revenue from the sale of a product isgiven by the function R = 4000x - 0.1x3dollars.Use…

A: Solution:GivenR=4000x-0.1x3To find how many units should be sold to give a revenue of atleast…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: We need to find the local maximum and minimum values and saddle point(s) of the function. We are…

Q: %3D Describe the translation needed to obtain the graph of g(x) = 8% +7 from the graph of f(x) = 8*.…

A: