Given the functions f and g below, find f(g(-3)). f(x) = –x² – 6x + 3 %D g(x) = -x – 3 %D

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 2x + 7, which expression has the greatest value?…

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Q: Find the simplified difference quotient for the given function    dx2 + kx + m

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Q: For function g(x)=3/2x-2, find g(4a)-g(a)

A: The function is given as

Q: . Given f(x) = 2x-3 and g(x) = x +5, find f(g(2)).

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Q: : x + 4 g(x) =; x2 – 16

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Q: f(x) = x - 5 and g(x) +3, find f[g(-2)]

A: Given question is from composite function.

Q: Given g(x)=/3x – 4h(x)= 3x+5 Find g(h(x)) What is the domain?

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Q: f(x) = V-2 + 5

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Q: Find the number of units x that produces a maximum revenue R. R = 156x2 − 0.08x3     x =…

A: Simply take the derivative of the given function and make equal to zero than solve for x.

Q: 7 d. f(x)=(4x²-7x) e. 12 = y' + x? f(x) = 156 f. %3D

A: we have to differentiate the given functions

Q: f(x) = – 0.5x2 – 3x – 4?  Find the end behaviour

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Q: Given f(x)=e^x+1/3x, find f'(6)

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Q: 3. Find [g f](x) for f(a) = 2x +5 g(2) = 2 – 3. and

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Q: for what value of x does the function g(x)=1/3x3-2x2 concave downward?

A: Given  gx=13x3−2x2

Q: 2. For the function f(x) = 2x - 3x + 1, find the following: (b) f(-x) %3! (a) f(3) (c) f(x + h)

A: Given : For the function f(x)=2x2-3x+1(a) To find: f(3)=232-33+1f(3)=10

Q: f'(x) = f'(4) - L

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Q: For the function f(x) = 3 (e - 8) + 2, find f(x).

A: Given f(x) and inverse of f(x)

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: Q6:- Find the extreme value of the function f(x, y) = 3x2 - 2xy + y2 - 8y.

A: First, let us find the partial derivatives of the given function as shown below:…

Q: For g(x)= 4x – 2, find g(8) and g

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Q: For what value of x does the function g(x) x³ - 2x? attain the point of inflexion? A. x = -1 B. x =…

A: The given function is                                         g(x)=13x3-2x2 We know that the point…

Q: Given the functions below, find f (g (x)) f (x) = 2x – 5 g (2) =D 글a + Next

A: Given :f(x)=2x-5g(x)=12x+6

Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The…

A: This is a basic calculus problem

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(7). f(x) = 3x2 + 7x - 13 %3D…

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Q: Given f(x) = 2x + 5 and g(x) =x what is the value of (go f)(c)?

A: Here we have given two functions f(x) and g(x) . f(x) = 2x + 5andg(x) = x2 And we have to find the…

Q: find the value of the constant (a, b, or c) that makes the function continuous. (x2 - c 4x + 2c for…

A: For limits to be continuous left hand limit must be equal to right hand limit and equal to limit at…

Q: Given the functions g(x) = 5x - 2 find g'(x) %3D 4х + 3

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Q6: Find the local extreme values of the function: f(x.y) = x + y? - 6y + 5

A: The given function is f(x, y) = x2 + y2 - 6y +5

Q: Find the profit function if cost and revenue are given by C(x)= 124 +2.1x and R(x) = 7x-0.08x2.…

A: The cost function C(x)=124+2.1x and revenue R(x)=7x-0.08x2

Q: 4. For the functions f (x) = x + 2 and g(x) = x² – 3, which expression has the greatest value? a.…

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Q: Given f (x) = 3x2 g(x) = 7 - x Find the value of f(g(5))

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Q: Find the values for which the function y 2x – 9r2 + 12r is (a) increasing; (b) decreasing.

A: Answer

Q: Find the profit function if cost and revenue are given by C(x) = 162 + 6.3x and R(x) = 3x - 0.01x.…

A: Given, C(x)=162+6.3x R(x)=3x-0.01x2

Q: ork. f(x) = -2.5x +6 a) f(9) = b) f(x) = 29, x = V1047

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Q: For what value of x does the function g(x) = x³ – 2x² concave downward? А. x2 -1 В. х20 С. х2 -2 D.…

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Q: f(x) = e1/(9x)

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Q: f(x) : 4х + 8 f (x) = 36, What is x?

A: Given f(x) = 4x + 8 and f(x) = 36 So, 4x + 8 = 36 Now add both sides with (-8), 4x + 8 + (-8)= 36 +…

Q: g(x) = – 4 f(x)+7

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Q: Given f(x) x² + 6x + 4, find the following. (a) f(0) (b) f(1) (c) (-1) (d) (-3) (e) f(a) (f) f(x +…

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Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: Given the function f(x) = - + v , find f'(4). Express your answer as a 2 single fraction in simplest…

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Q: Determine whether the function y = -3x2is increasing or decreasinga. For x < 0. b. For x > 0.

A: Given, y=-3x2Differentiating both sides w.r.t x we get:dydx=ddx(-3x2)⇒dydx=-6x…

Q: 10x2 Given the function : y = f(x) = 1+x2 (a) Use the input values :

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Q: Next, use the vertex and the other point provided to find the value of the leading coefficient a in…

A: Given that vertex is at -3,5, thus, h,k=-3,5.

Q: For what values of x is the given function r(x) decreasing? r(x) = x – 3x2 + 6

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Q: (b) Given that f(x) = g(x') (2) =3 and g(2) =5, find the value of

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Q: Given f(x)=e^x+1/3x, find f'(8)

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Q: Complete the table. g(x) = |8x + 5| x g(x) −3   −2   0   1   3

A: f(x) = x = x  , ∀ x∈ℝ

Q: Given f(x)=2x2+1f(x)=2x2+1      and g(x)=3x−5g(x)=3x−5       , find the following.  f(g(2))

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Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

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