What are the Karush–Kuhn–Tucker conditions and what are they related to? b. Maximize function f(x1,x2)=(x1 −1)2 +(x2 −1)2 on terms: x12 + x22 ≤1 and x1 ≥1/2.

Q: 1. If f(x) =+1 and g(x) = 1-V2x. Find f-1? Check your answer ? Draw f and g? Check your answer ?…

A: We have to find inverse function

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

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Q: For the f(x) = x3 +3x + 6 determine the coordinates of the turning point(s) and any point(s) of…

A: The turning points of a function f(x) are those points where its first derivative is equals to zero.…

Q: determine the values of p such that the function f(x)= px4+x3+x2 will have: A. 0 possible…

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Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: he function g(x) is defined as g(x) -2x2+ 3x. The value of g(-3) is 8. 1)-9 2) 45 3) 27 4) -27

A: Objective is to find g(-3).

Q: Given f(x) = 2x and g(x) =: a. What is the domain of f(x) and g(x)? Use a number line to show your…

A: Given- Given fx = 2x and gx = 1x - 2 To find-  What is the domain of fx and gx? Use a number line…

Q: what is the minimum value of f(x)=3x2-18x+25 a. -2 b. 3 c. 6 d. -18

A: Given  f(x)=3x2-18x+25

Q: 1. For f(x) = 3x² + 5 and g(x) = 7x - 2, a. Find f(2) and g(2). b. Verify: g(x + 2) # g(x) + g(2).…

A: Given data: *The function f(x) is f(x)=3x2+5 *The function g(x) is g(x)=7x-2 a) We have, f(x)=3x2+5…

Q: bx3 - 24x + 1 Зах4 f(x) : - 4 If the function has an extremum at x = 2 and a turning point at x =1,…

A: Given, f(x)=3ax4/4 -bx3/3 -24x +1

Q: Consider the function f (x) = 5x² + 5x + 3. Find the largest open intervals on which the function is…

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Q: b.) have a maximum value f(7)=3? c.) have a maximum value f(2)=5?

A:

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: Given that f(x) = 4x² + 5X-9, find f (h-3)-f(-3) h

A: f(x)=4x2+5x-9for f(h-3) put h-3  in f(x)

Q: Given the function P(x) = x(x-2)(x+3), find its y-intercept: (0,0) its x-intercepts: (-3,0),(0,0),…

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Q: Use the y-intercept point, the x-intercept points, and the vertex point to graph the function on the…

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Q: 4. a. Construct a quadratic function with zeros at x = 1 and x = 2. b. Is there more than one…

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Q: a. Evaluate g(6) b. Evaluate If f(x) = 3 - x and g(x) = 2x² + x + 5, then

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Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

Q: 6. For the given functions f and g, find (fog)(x) and (f of)(x). f(x) = 3x² + 5x - 12, g(x) = 2x +9

A: The given functions are  f(x)= 3x2 +5x-12, and g(x)= 2x+ 9  Find (fog)(x) and (fof)(x)

Q: The points of inflection of the function f(x) = 2x - 6x? - 5x 1 is: O 4 O 3 O 2 O 1

A: Find the inflection points of the function