If f(x)=f(x)= x3+5x2+6xx3+5x2+6x and g(x)=g(x)= x+2x+2 , what is the simplest version of (fg)(x)(fg)(x) ?

Q: f''(x)=8x−3f′′(x)=8x-3 and f'(−3)=−6f′(-3)=-6 and f(−3)=−3f(-3)=-3.

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Q: Is (x+4) a factor of F(x)=2x^3+5x^2-5x+28? How do you know?

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Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: If fx) = 2x3 - 4x2 + 2, and %3D g(x) = x - 2x2 - 2x+ 4, then f(x) - g(x) = es 4) A) x3 - 2x2 + 2x- 2…

A: here option A is true

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: 3x2 - 3 y = x3 - 8 x + 8 g(x) = %3D x - 2 4х - 6 f(x) = %3D x2 - 4 x2 - 4x - 32 y%3D x2 + 6x- 16 x2…

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Q: If f(x) = 2x2 – 5 %3D and g(x) = 5x + 7 Find f(g(x)) = 50x² + 140x + [ ? ]

A: I am solving this in step 2

Q: If f (x) = 4x + 3x2 - 5x +20 and g (a) = 9x - 4x2 + 10x- 55, what is (g-f) (x)? 13x – a2 + 5x – 35 A…

A: See the details solution in below

Q: Find the value of x of  x^3-3x^2+3x-1

A: We have to find the value of x  of  x3 - 3x2 + 3x - 1  Put x = 1 1 - 3 + 3 - 1 = 0  So ,  x = 1 is a…

Q: If f(x)=3x+1 and (fog)(x)=6x² +9x+4, then g(x)=...

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Q: The general solution to 3x" + 2y = 0 can be obtained using?

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Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

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Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

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Q: Maximise Z = 5x1 + 6x2 Subject to X1 + x2 0 and integer

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Q: x2 - 6x - 7 4x2 + x - 3 f(x)

A: Remark: Vertical Asymptotes The line x= L is a vertical asymptote of yhe the function y=f(x), if the…

Q: If 21+3f(x)+2x^2(f(x))^3=0 and f(-3)=-1 what is f'(-3)?

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Q: Find fg.f(x)=5- x²,g(x) = x² + 4x – 12 %3D fg)(x) = x - 4x³ + 17x² + 20x – 60 %3D (fg)(x) = -x*- 4x3…

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Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 400 + 200x…

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Q: x-3x-7 1. C(x+1)*| (2x+3) 6. 3 - In (2x+3)(x+1)** x+1

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Q: 3. f(x) = x² – 4Vx - 2(x3/2 – 1) f'(x) = 2x3/2 + 1 f"(x) = x3/2

A: Just apply all the condition for finding maxima and minima..and all other points as I have done step…

Q: what is the constant of of x2-4x-5=0

A: Given, x2-4x-5=0

Q: The revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

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Q: X 1 x-2 x-1 + 11x - 20 x² 3x + 2

A: To find: Value of x

Q: -2(x-4)+12(3-2x)=-8

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Q: f(x) = x* - 4x° + 7x2 - 16x + 12; 3

A: Follow the procedure given.

Q: Find the domain of f

A: Given: fx=4x-3x2-4. Here, fx is defined only when 4x-3≥0 and x2-4≠0. When 4x-3≥0, x≥34 When…

Q: fo)-글x3-글 x2-6x +4 has

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Q: 2 f(x) = (-7x4 + 10x + 8)(x2 + 10)

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

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

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Q: f (x) = -3x2 + 3x – 3 and | x 9

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Q: Find the discriminant of C(x)=3X^2-4X+3

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Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: x2 - 4x if x 4 f(x) = x2 - 16 a = 4 %3D if x 4

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Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

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Q: Find (gof)(x) if f(x) = 4x and g(x) = 3x+6

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Q: (x3-2x)²(1-2x)ž f(x) (3x-4)*

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Q: If f) = x*/x³ ++2 then 13x + 20x 2Vx +2

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Q: g(x) = x + 4x³ + 7x² + 16x + 12 %3D 13 8 (x) = x³ + 3x4 – 4x3 – 2r - 12x - 16 |

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Q: -1- * f(x) = 6v4 + 3x² find f(2) %3D -2-* 3 f(x) = 2x- find f(2)

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Q: The sum of f(x)=9x^2+2x+8fx=9x2+2x+8 and g(x)=7x+4gx=7x+4 is?

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Q: 3. What is (x + x) / (x² + 1)?

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Q: (x) = x² - 2x - 5 8CX=6x-1 N of G

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Q: f(x) = 2x² – 4x + 2 on [–2,3).

A: answer is in next step

Q: Does x =12 satisfy the equation 16 - 1/2x = 3/4x +1?

A: Given equation,  16-(1/2)x=(3/4)x+1 X=12 satisfy the above equation if L.H.S of above equation is…

Q: -5x + 3x4 + 73 If f(x) find f'(x) x4

A: f(x)=-5x5+3x4+7x3x4

Q: x2 - 10x +5 x2 - 4x+4 A. x2 + 8x + 24 x2 + 6x -9 D. x2 - 4x - 4 x2 - 8x - 16 E. F. G. x2 - 16x + 64…

A: We use completing square method

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.