х- 3, x< -2 Let f(x) = { V4- x², -22

Q: f(x)=5-6/x2, x &gt; 0 f-1(x)=

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Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

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: Finding a constant Suppose x2 – 5x + 6 if x + 3 f(x) = х — 3 а if x = 3.

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Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

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Q: 3-x • The domain of f(x) = is 1-x2 1. R 2. R/{1,-1} 3. R/{3} 4. (0, co)

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: f(x)% 3D -x2 f(x) = -x2 0. 0. 土4 土3 ±2 -1 土1 士4

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Q: a) If Sx² - 9, x 3 3) Find lim(x)-2 f(x) = {x-3, x 23 g(x) = Vx+1 1-3 f)

A: Given  The function is f(x)=x2-9  , x&lt;3x-3  ,x≥3  and  g(x)=x+1

Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

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Q: (b) Find the local minimum and maximum values of f. f(x) = x3 − 9x2 − 21x + 8 local minimum value:…

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Q: 4 – x2 - X 3 (2х — k+h

A: For continuity, we must have the left-hand limit equal to the right-hand limit at x=2 and x=3 For…

Q: -3 f( x = 3 – 2 e7, — 2 е -3 18 12 - е z 1. Find domain of f(x)

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 8. Find the absolute maximum of f(x) = 2x –15x² +24x on the interval [-1, 3]. А. -16 В. 16 С. -41 D.…

A: Differentiate wrt x and put value in the function

Q: The function f(x) = -4x – 6x² + 240x – 7 is increasing on the interval ( It is decreasing on the…

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Q: The absolute maximum and absolute minimum value of x2 the function f(x) = 5x – 5 in [-2,6] is: 2

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Use the…

Q: .2 x -4 x + 2 f(x)={ x-2 at the point x = : 2 5 x = 2 |1-x, x 1

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Q: ind the absolute maximum and the absolute minimum values of f(x) = x 2+8x−20 on the interval [−8,…

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Q: G(-2) if g(x) = -x^2 + 4x + 1

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Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: g(x) =   5x + 1      find g-1(x)                2x - 6

A: Given gx=5x+12x-6 To find g-1x:

Q: Given the functions            g(x) =   5x - 2      find g-1(x)…

A: The given function is gx=5x-24x+3. Replace x by y and gx by x and then solve for y as follows.

Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

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Q: ax², x 2 then f(0) = 0 If f (x) = lx² + b, x > 2

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Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

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Q: Evalvate f(f(f(2) X+5 for x5

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Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: p²/ f(x)= x²³_ +|x x +2. show that f(x) & between хбо a root has 1.4 and 1.5.

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Q:

A: Here, function f(x) is,

Q: g(x)% = 7-6x 4, -4sxs5 absolute maximum is 7 at x = 0; absolute minimum is -143 at x 5 absolute…

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Q: [2-x² for x2

A: Given:

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

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Q: The function f(x) = -4x + 12x² + 180x – 1 is increasing on the interval ( ). It is decreasing on the…

A: The objective is  to solve the  above questions.

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

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Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4

Q: The function f(x) = -2x3 – 3x? + 12x – 4 is increasing on the interval ( ). It is decreasing on the…

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Q: The function f(x) = 2x³ +4.98x² + 26.2416x +2.34 is increasing on the open interval ( It is…

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Q: The function f(x) = − 6x³ – 29.07x² + 433.242x – 5. is increasing on the open interval ( It is…

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Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

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Q: Find (fog) where f(x) = 2x^2 +x +2 and g(x) = 3x -1

A: We can find the answer as below.

Q: 4. Find all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…

A: Solution

Q: G(x)=3/4t+2, find G-1(1)

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Q: (x+3)(x-1) x' - 5x² + 4x¯ x(x-4)(x-1) x'+2x-3 Given g(x)= .3 What is the domain of g?

A: (a) Simplify the given function as follows. It is known that the domain of a function is set of all…

Q: x+2 Let f(x) = 3x - 2, g(x) = x + 6, h(x) = 3 Find (g oho f)(4).

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Q: n open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: Mathematical optimization of a function is a method to compute the value of the function by…

Q: 3x2 f(x)3D f'(x) (x+2)? ' 12x f"x) = – 24(x-1) (x+2)3" .Find x- and y- intercepts of the graph of f.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: The function f(x) = – 2x + 3.33x2 +46.716x + 6.22 is increasing on the open interval ( It is…

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Q: 2. -3 3. f(x)= ;x = -1

A: See the details solution in below