If f(x) = 2x + 3 and g(x) = x² - 4, what is g(x) - f(x)?

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

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Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: -4x + 11 g(x) = %3D x - 2

A: To solveg(x)=-4x+11x-2

Q: -x³ (7x + 1) (3x + 6)5 f (x) = In

A:

Q: The critical points of the function f(x)= 3x² -36x+1 are

A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

Q: If f(x) = 3x+1 and g(x) = 5x^2 then (fog)(x) is

A: fx=3x+1  and  gx=5x2

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: Find the critical points of f (x) = x³ – 6x².

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Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: If f(x)= 2x-and g(x)=3x+1, what is f(x)-g(x)+g(x)²? O8x6+9x2+3x O8x+9x-x O8x+9x2-3x O8x+9x+x

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Q: If f(x) = 3x + 2 and g(x) = x - 5, then what does (fg)(0) equal?

A: Given that:   The function, fx=3x+2,       gx=x-5

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

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Q: If f(x)=2x−2f(x)=2x-2 and g(x)=x+1g(x)=x+1, then f(x)=g(x)f(x)=g(x) when x = − 2x = − 1x = 3x = 4.

A: it seems like to find the value of x for which both functions are equal.      given'…

Q: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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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)= 2x2 and g(x)=3x+1, what is f(x)-g(x)? O2x+3x+1 O2x2-3x-1 O2x2-3x+1 O2x+3x-1

A: Given, fx=2x2 and gx=3x+1.

Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

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Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

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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: Find the general solution for: X' = là X. -3 %3D

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Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…

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Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: If f(x)= 2x² + 3x +1 and g(x)= 2.x+1, find the followings: (fxg)(-2)

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Q: (x3-2x)²(1-2x)ž f(x) (3x-4)*

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Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

A: We can find the answer as below.

Q: If f(x)=x3−2x+5f(x)=x3−2x+5, what is the value of f(2)f(2)?

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

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

A: given function:-    f(x) = x3 + 5x2 + 6x    g(x) = x + 2

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: What type of equation is g(x)=x^2-1

A: We have to find what type of equation

Q: 10. f(x) = 2x3 – 9x² + 12x – 3 - -

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Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

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Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

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: f(x) = x2 + 4x – 5, x < -2 -

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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: f (x) = x² and g(x) = 3x – x² Зх — -

A: Let f1 and f2 are the two function of two curve .Then area between them         A = ∫lower…

Q: Find the points of discontinuity for 3(x+2)2 a) h(x) x3 + 4x2 + x- 6 6x- x2 b) f(x) = 9 - x2

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Q: If f(x) = 3x + 2 and g(x) = x - 5, then what does (f+g)(3) equal?

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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.