Let f(x) = Vx + 3 and g(x) = |x – 3|+2. Let h be a function with the following properties: the domain of h is (-6,7], the only solutions to the equation h(x) = 0 are x = - 2 or x = 4, and h(3) = 1, h(5) = – 3. a. Explain and demonstrate how to find the domain of (fg). b. What is the domain of (fg)? c. Explain and demonstrate how to find the domain of (f – h). d. What is the domain of (f – h)?

Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: The function f(x) = Vx – 2 + V4 – x is.

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Q: Find the (natural) domain of the function x² - 4 f(x) = Vx² – 4 %3D O(-2, 2] O(-2, 2) (2, 0) O [2,…

A: Given that the function is          f(x) = (x2 - 4)/√(x2 - 4) Here we have to find the domain.

Q: (4) For the functions f(x) = Vx- 3 and g(x) = Vx+2, find and determine the domain %3D in each case:…

A: As you have asked multiple question, we will answer first question only. lf you want any other…

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: Let h(x)=f(x)g(x). If f(x)=x2−3x,g(0)=−1, and g′(0)=−4, what is h′(0)?

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Q: Find the linearization L(x)of the function at a .

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Q: • The Range of f (x) = v1-x is 1. [-1, c0) 2. (-0, 1] 3. (-0, 0) 4. [0, 0)

A: Domain: The set of possible values of 'x'                    for which 'f(x)' is defined. Range:…

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: find and classify the stationary points of the function f(x)=x^3-2x^2+2

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Q: The Domain of f (x) = V1 – x is 1. [-1, 0) 2. (-∞, 1] 3. (-0, 1) 4. [1, c0)

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Q: find a formula for the linear function f(x) that satisfies f(5)=7 and f(0)=-3

A: Given information:f(5)=7 and f(0)=-3

Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

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Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Let F = Z, [x] (x³ + 3x + 2) and α=x+ (x+3x+. (x³+3x+2) €F. Find a³.

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Q: Find numbers a and b such that the given functiong is differentiable at 1. |ax³ - 3x if x 1 a = b =

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Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2x−5 + 3 ,…

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Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: Let's solve for maximum and minimum value of function.

Q: Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

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Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

A: Given that f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993 where x is the number of years since 1993 we…

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

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Q: 4. Given f(x) = v3 – e2, find the domain of f and f-1.

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Q: Q1: Find and : for the function ax af ду f(x, y) = x+y %3D y2+x3

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Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

Q: The function f(x) =is 1-z2 Is 9+z2

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Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: The domain of the function f (x, y) = In(2 – /x² + y² ) is:

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Q: 3- Show that the function y = x3 + 3x + 3 satisfy the y" + xy" 2y 0

A: Function does not satisfy the given inequality. See the attachment

Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27

A: Consider the given function

Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: The linear function f(x) = ax + b is a constant function if?

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Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

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Q: Find a number c that satisfies the conclusion for f(x) = x + x-1 on the interval [0, 2]

A: Answer is 2/√3

Q: 23) The domain of f(x) = Vx + 3 is

A: Consider the function

Q: In(x - у) Find the domain of the function f(x,y)= 9-x² - y? Select one: None of the others. D%3D…

A: Domain of the function is the set of values at which the function is defined.

Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: Let h(x)=f(x)/g(x) where f(x)=x^2+5x−1, g(2)=−4, and g′(2)=−2 what is h′(2)?

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: Let h:R→R be the quadratic function defined by, h(x)=3-x. Then the range of h is

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