4x If f(x) = and x + 3 x +1 g(æ) = , then (fo g)(x) is 5x 4х + 4 16х + 1 4х + 1 16х + 1 4х + 5 16х + 5 4х + 3 16х + 3 4х + 2 16х + 2

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: If f(x) = 2x²-2, then f(f(x)) = Select one: a. 4x4-8x²+6 b. 8x4-16x²+6 c. 4x4+6 d. 8x4+6

A: Here the given is

Q: If f (x) = x3 + x2 - x - 1, find f (1), f (-1), f (12 ), and f (a).

A: We have given  fx=x3+x2-x-1

Q: 2. 2. If f(x) 2x + 3 and g (x) = x-1, then f g(-1) = %3D A. 3 B. -1 C. 2 D. 0

A:

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: f(a + h) – f(a) 7. If f(x) = 3x² +9, find and simplify where h + 0. h За + 6h 3h + 12a ба + 3h 3h +…

A: Hence option (c) is correct.

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

A:

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

A:

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

A:

Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

A:

Q: 9. f(x) = Зх + 4 Then f(x + h) – f(x) A h (3x + 4)(Bx + C + Dh) Find A, B, C, and D. A = B = C = and…

A:

Q: Let f(x) =-3x+4 and g(x) =-x² +4x+1. Find and simplify each of the following. (5) f(-x) (6) gt-)

A: In function  f(x) ,X replace by -x and function g(x),x replace by -1/4.

Q: If f(x) = x + Vx + 5, find all values of x for which f(x) = 7.

A: Given, fx=x+x+5 and f(x)=7

Q: 1f fC)-3x-4 -ndg)=2びナx, find slfk)

A:

Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

A:

Q: Find the eigenvalues and eigenvectors of the matrix -4 -15 3 9 -4 -13 6 - 1 4 From smallest to…

A: Find the eigenvalues and eigenvectors of the matrix .From smallest to largest, the eigenvalues…

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

A:

Q: Let f(x) = 6x – 4x² – 7x³ and g(x) = 9x² – 5x . Find (f + g)(x) and (f – g)(x). Then evaluate f +g…

A: Question- Let f(x) = 6x - 4x ^ 2 - 7x ^ 3 and  g(x) = 9x ^ 2 - 5x  Find (f+g)(x) and (f-g)(x). Then…

Q: . Determine each value for the function f(x) = 2x²-3x + 1.

A:

Q: If f(x) = 2x +2, g(x) = - 3x - 2x-2, and h(x) = 7x² +5, find f( - 3). f(- 3) =O (Simplify your…

A: Given: fx=2x+2, gx=-3x2-2x-2, hx=7x2+5 For finding value of f-3, we put x=-3 in given fx and…

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: Find (fo g)(x). f(x) = /x +7, g(x)= 8x- 11 O A. 2/2x-1 O B. 8Vx+7-11 O C. 2/2x+1 O D. 8Vx-4 Click to…

A:

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 1. h[f(1)] 2.…

A: Given that f(x) = {(- 2, 1), (1, 4), (2, 5), (3, 6)} g(x) = 6 + 4x h(x) = - x 2 + 2 1. h[f(1)]/7 =…

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.