32) If f(x) = -3x+ 2 and g(x) = 2x², find f(g(-1)).

Q: What is g'(x) when g(x) = 1 3z²+6z+7 2z²+2x³

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Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Given f(x)=2x^2+1 and g(x)=8x-9 Solve for (fof)(-2)=

A: Given: f(x)=2x2+1 and g(x)=8x-9. Now, we need to solve for (fof)(-2).

Q: D. f(x) = In x + 2e - 3x2

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Q: X-3 1-7X ガ ニ ー4x2 f-14X4|l 5-X if x>l

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Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: If the total revenue function for a blender is R(x) = 40x − 0.01x2   where x is the number of units…

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: Suppose that the cost of producing x apple is c(x) = 2000 + 100x - 0.1x^2. Find the

A: Given: cx=2000+100x-0.1x2

Q: f the total revenue function for a blender is R(x) = 76x – 0.01x² where x is the number of units…

A: Given that

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: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: 2. Given that f(x) = 2x + 2 and g(x)= find fg 2+x2

A: Given:  fx=2x+2gx=-x2+x2 To Find:  fggfg1=?

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: The graph of f(x) = 2x³ + 6x² horizontal tangents. – 90x + 8 has two What is the negative value of x…

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Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

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Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

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Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: artwork has a cost function

A: Cost function C(x)=24x+300 Revenue function R(x)=75x Where x is the number of item made We know…

Q: If f(x) = x³ – 2.x² +3 , the only point where f could change the concavity is 2 b) x =- 3 a) x =- c)…

A: Finding the inflection points

Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

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Q: The critical point for the function ƒ(x)= x² – 3x is

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

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Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

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Q: 1. Find the intercepts of the function. f(x)=x*+2x–15 а. X+10 b. y-- х-5

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Q: The value of x which satisfy 3x + 1| < - is : 5.

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Q: 7. Given f(x) = x² – 5x ,

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Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

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Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: 2. f(x) = (8x³ – 7x)(7x¬ + 5x³) at x = -1

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Q: 19 f(x) = x* – 12x2 + x – 1 -

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 10. f(x) = 2x3 – 9x² + 12x – 3 - -

A:

Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…

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Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

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Q: Suppose the manufacturer of staple machines has found that, when the unit price is $x the revenue y…

A: If a×b=0, using the zero-factor property, it can be written that a=0 or b=0. If -p&gt;0, then…