Let f(x) = 11x and g(x) = 7x73. Find (fg) (x) and (x). Then evaluate fg and for x = -8. %3D (fg)(x) = : (fg)(-8) = O %3D (x) = -8) State the domain of (fg)(x) and The domain of (/g)(x) is and the domain of (2)(x) is

Q: f(x) = - 4x-1 and g(x) = x- 4. nd (fo g)(6). en (fo g)(6) = : (Simplify your answer.) %3D

A: follow next step

Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: 5. Let g(x) = x2 - 3x + 5. Find g(-4). | a) g(-4) = 1 b) g(-4) = 33 c) g(-4)=-23 d) g(-4) = 9 %3D

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Q: What is the vertex of the function f(x) = 19(x+6)2 %3D O (19, 6) O (6, 19) O (6, 0) O (6, 0)

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Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: Find f(x) g(x) = (fg)(x). Simplify. f(x) = x2 + 2 %3D g(x) = x2 - x + 9

A: Given, f(x) = x2+2 g(x) = x2-x+9

Q: 9. Given f(x)=4x+3 and g(x)=x, find (g•fXx) 10. Given f(x)=x-1 and g(x)=xr +2x-8, find (gofXx)

A: Question no. 9,Given,            fx=4x+3  and gx=x2

Q: Use f(x) = 4x – 3 and g(x) = 3x2 + 2 to find gof %3D %3D

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

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: (b) Write z = (3- 3i)+ in the form of x +iy.

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Q: erify the result C(X"X) = C(X") for %3D x-(; ) X = -1 0 %3D

A: We have to solve given problems:

Q: Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x))…

A: Given: f(x) = 2x2 +1;   g(x) = 4x-5(a)…

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: If f(x) = 2x - 5x + 2 and g(x) = x² – 2x + 3, find (f - 8)(x) and (f – g)(3). %3D

A: Given: fx=2x2-5x+2gx=x2-2x+3 To Find:  f-gx=? and f-g3=?

Q: 8x2

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Q: Determine g(x + a) - g(x) for the following function. 8(x) = -4x2 + 3x

A: topic - functions

Q: If f(x) = x? (g - f)(x) and (g – f)(-1). – 3x + 4 and g(x) = 2x - 5, find %3D

A: The given function is fx=x2-3x+4 and gx=2x-5

Q: Consider the functions: f(x) = and g(x) = . %3! %3D Find the expression for the composition of…

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Q: Find (go f)x f(x) = x² g(x) 2x-5 O x2-5 O 4x2-5 O 4x²+25 O 2x2-5 Question 10 f(x) = 10x - 7 g(x) =…

A: We will solve the following

Q: If f(x) = x2 + 9 and g(x) = x2 + 12, find (g f)(x). %3D %3D

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Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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Q: = Evaluate f(2) - f(1) f(x) = 6x + 1 %3D

A:

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.