Given f(x) = 3x - 4 and g(x) = x2 - 2x + 6, find (g ∘ f )(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: If f′(2)=3, and g(x)=9f(x), what is g′(2)?

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

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Q: Given that g(x) = x² – 3x – 7, find (g o g)(- 3).

A: To find the following expressions

Q: find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

A: To find the range values of B for which  x2 + 4Bx + B to be positive for all real values of x

Q: If f (x) = x² – 4, what is the simplest form of +1), %3D - X -1 Select one: a. х + 3 о ь. х — 1 c. x…

A: The given function is: f(x)=x2-4

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

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Q: 1. f(x) = x3- 3x2 -9x-5

A: NOTE- Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: f(x) 3. g(x) = V2 - x 2-16

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Q: Find gof. f(x)=x², g(x) =x -4

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Q: f(x)=6x-4 and g(x)=2x2+5, find (gof)(x)

A: To find: The value of g∘fx. Given: The functions are fx=6x-4 and gx=2x2+5. Formula used: The…

Q: If f(x) dx = 4x7 – 6x5 + C, find f(x). %3D -

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Q: f(x) = -x2 + 4x – 3

A: answer of given question is in next step

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: 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: 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: Find g(5a – 2) + 3g(2a)if g(x) = x² – 5x + 8 - -

A: Given: gx=x2-5x+8 Finding the value of: g5a-2+3g2a       -1

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: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

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Q: 5. Find mZHGI. F G (7x - 1) (4r + 3)"-

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Q: If f(x) = 3x and g(x) = 2x – 3, find (fg)(-1). %3D

A: The given functions are, fx=3xgx=2x-3 We need to find the function, fg-1

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: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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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: given f(x)=2x2 -5x +14 and g(x)=x-3

A: Given that f(x) = 2x2 -5x +14 and g(x)= x-3. And we find g-1(1/2) . And   f(6) - g(-2) value.…

Q: Find the discriminant of: f(x)=(5x+4)(2x+2)

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Q: If f(x) = x - 8 and g (x) = 3x + 6 then gf(-2) =

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Q: 1. Find the domain. 3x²-27 A) f(x) = |5x-21-3 B) f(x) = x² +7x+10 x+4

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Q: 2. Given the function f(x)%3D10X²+13x-3 and one of its factors (2x+3), determine the other factor.

A: Given: A function fx=10x2+13x-3, with one of its factors as 2x+3

Q: If f (x) =2x³+6xr- 2, then what is f'(1)? %3D

A: Solve the derivative of the function for given value

Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: If f(x) = 3x – 4 and g(x) = x³ + 2x², then (fog)(x) is?

A: Given function  f(x) =3x-4       and  g(x)=x3+2x2

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

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

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Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

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: 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: f fx)=3x²-2x and g(x)=2x-3, find (fog)x)

A: solve

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: for g(x)= 18x3 + 12x2+ 2x and k (x) = 27x3+ 1, find an equation of K/g, evaluate (k/g)(-1) (k/g)…

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Q: f(x) = x ^ 2 + 3x - 2, findf * (- 2)

A: given that  F(x) = x2+3x-2.        ----------(1) And we have to find f'(-2)  For this we first need…

Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: Find gf(2) when f(x) = 6x² and g(x) = 4x+4 %3D %3D

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Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then the value of (f/g)(-2) is _____?

A: We have to find (f/g)(-2).

Q: A fast-food restaurant has a cost of production C(x)=13x+95 and a revenue function R(x)=8x. When…

A:

Q: If f(x) = 2x¬1, then f'(x) is equal to a. x2 b. 1 2x C. 4 x3 d. 4 x3

A: Given :   Discontinuity And f(x)=2x-1

Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

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

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

Q: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

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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: F(x) = 2x^3 -11x^2 -7x+6 and X=-1 is a solution,

A: Put value in function if get 0 then this the solution

Q: Given f(x)=2x-4 and g(x)=x2+7x+2, find: fg(-4) - g(2)

A: Given  fx=2x-4gx=x2+7x+2 The product of two functions are given by fgx=fx·gx So…

Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When…

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx

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

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Q: Given f(x) = 5x + 6, g(x) =3x - 4x +8. Find (g) (x). A. 3x + 9x +2 B. 3x - 9x +2 C. 3x +x+14 D. 3x…

A: Given: f(x)=5x+6 g(x)=3x2-4x+8

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.