Find three functions f, g,h that satisfy: f(g(h(x)))=, +2

Q: Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

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Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

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Q: Find (f g) (x) = f (x) = x² + 5æ , g(x) = %3D -

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Q: If f(x) = | ( + 2t² + 2)dt then = (x),,f

A: f(x)=∫0xt3+2t2+2dt

Q: Consider the two functions f(x) = x² + 3x and g(x) = Sx² – 2, x 0

A: Given:                     Evaluate the following

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: Зах + 3 for x -2

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Q: If f (x) is a linear function, f (1) = 0, and f (2) = 1, what is f (3)?

A: fx is a linear function such that f1=0 & f2=1

Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

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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: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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

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Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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Q: If F(x)=[ -dt , find F' (3). 2t 2

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Q: Find the linearization L(x) of the function at a. f(x) = x4 + 6x2, a = −1

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Q: The function f(x) = x²e*- ex has a root in [0,2]

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Q: Find the critical numbers of the function g(x) = (x2−16)1/2.

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Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: The function f(x) =x -x² – 2x – 1 is increasing over: %3D

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Q: Find the streamlines corresponding to: f(z) = z²

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Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

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Q: Show that the function f(1) = (e¯1 + 1)¯' satisfies y' + y² = y, y(0) = }.

A: To prove: ft=e-t+1-1 is a solution of given differential equation y'+y2=y.

Q: Let f(x)=4x-1, h(x) = -x+ 1. Find (fo h)(2). (fo h)(2)=

A: Given fx=4x-1 and hx=-x+1. To find: f o h2 Solution: We know that, f o hx=fhx Therefore,  f o h2=fh2…

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

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Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: Find f ◦ g ◦ h where f(x) = |x − 4|, g(x) = 2x , and h(x) = √ x.

A: We have given f(x), g(x), h(x)  We have to find fogoh

Q: Find F(g(x), h(y)) if F(x, y) =xexy, g(x) =x3 and h(y) =3y+1

A: Given that  Fx, y=xexygx=x3hy=3y+1

Q: Find all the stationary points of the function f(x,y) = x3e-(x^2+y^2).

A: Given:

Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: В. Find az if z = f(x, y) is implicitly defined as a function of x and y for the equation below…

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Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

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Q: What is the value of In[f'(2)]if f (x) = e*?

A: Our Aim is to tell the value of ln f'(2) if f(x)=ex-(i)

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

A: Consider the provided function, fx=x,    a=4 Find the linearization of the function at a. Apply the…

Q: Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

A: We have to find the linear function where, f0.5=0.8 and f0.8=-0.3 We know linear function form,…

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

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Q: = x, find (f o g-3). Given that f(x)=2x+3 and g(x) (fo gX-3)-

A: (fog)(-3)=f(g(-3))

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: At what points are the functions continuous x+3 y =-3x, y = (2x – 1)i y = x2-3x-10' x-2

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Q: Find the linearization at x = a. 1 f(x) = = 5 +3

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Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

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Q: Are functions f(x) = x² – 2, g(x) = x² + 2x – 1 and h(x) = 2x² + 6x + 1 linearly dependent? If yes,…

A: Let f(x), g(x) and h(x) are linearly dependent.  So, we can write: Then we compare both sides

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

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