Let f(x)=- 1 and g(x)=x². Compose the following functions and find the Vx+2 domain. (а) gof (b) gofog

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Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: For the function z = x3-2x2y2-2y2 Find Zy

A: Given: z=x3-2x2y2-2y2 For finding zy, we assume x as constant and differentiate given expression…

Q: The function f(x) = x³ – 3x² + 5 is concave upward on the interval

A: The function is fx=x3-3x2+5

Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

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Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: Given a function f(x,y,z) = 2x² In (6y + 3z). Find the domain of the function.

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Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: A function f(x) = v1 – x² is

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Q: Зах + 3 for x -2

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Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: Find the maximum and minimum values of the 2x3 function f(x,y) = * - 2xy – 5x + 2y² + 4y + – 2xy –…

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Q: Find the domain of the function f(x, y) : Vx2 + 8y2 – 5.

A: follow next step

Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: Find the domain of the function f(t) = V1- 21 – 3Vī+ 6.

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

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Q: Find f'(a). f(x) = V3 - 2x f'(a) =

A: The given function is fx=3-2x Use the chain rule of differentiation f'x=d3-2xd3-2x×d3-2xdx…

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Sketch the domain of the function.  f (x, y) = 12x − 5y

A: Sketch the domain of the function.  f (x, y) = 12x − 5y

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: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: The derivative of the function y = 7x² + 12 – is: - 15 a) y' = 14x + x2 15 %3D b) y' = 14x + %3D c)…

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

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Q: For function f (x, y) = x2+1

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Q: Find fxy for the function f(x, y) = V3x²y + 5.

A: The given function is f(x)=sqrt(3x2y+5).

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

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Q: If f(x) = x² + x + 3 and g(x) = x – 4, find the %3D (a) f + g

A: Given that fx=x2+x+3 and gx=x-4To find : e.   fg3f . gf3g.  gggxSolution…

Q: Find f'(a). f(x) = V2 - 6x f(a) =

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Q: Q14- If f(x,y) = 2xy - x² Iny- 2y² + 3x + 4, then axy is : for the function

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: of the function. + 3y + 11

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

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

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Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: find the maximum and minimum values of f(x,y)=x3+3xy2-3x2-3y2+4

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Q: The domain of the function f(x, y) = 3x + xy + 5y? is R.

A: We have to verify that the domain of the function fx,y=3x+xy+5y2 is R or not.

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

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Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

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Q: g (x) = (/9x + 3 ) (7x² + 1)

A: Find your answer bellow