Let f(x) = 7x32 and g(x) =-14x3. Find (fg) (x) and ( (x). Then evaluate fg and for x = 64 . (fg)(x) = :(fg)(64) = D %3D %3D (64) = %3D State the domain of (fg)(x) and (). The domain of ((fg)(x) is: (A) is and the domain of

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

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Q: Let f(x) = –2x + 4 and g(æ) = –6æ – 7. Find f(x) – g(x).

A:

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

A:

Q: Let g(x) =-4x+5, Find g(3), g(0),g(-2) and g(b)

A: Given: The function gx=-4x+5, To find: The values of g3, g0, g-2 and gb.

Q: Consider the function P(x) = x3 – 16+ 8x +10x².

A: Rearrange the P(x)

Q: Find (f + g)(1). f = {(1, -2), (0, -1)} and g = {(5, 0), (1, -3), (2, -4), (-2,4)}

A:

Q: Let f(x) = 3x+2 and g(x) = 2x- 7. Find (f+ g)(x), (f- g)(x). (fg)(x), and (X). Give the domain of…

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Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

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: A rectangle is 2.5 times as long as it is wide. Squares of side 4 inches are cut out from each…

A: We have to find volume . Given a rectangle is 2.5 times as long as it is wide. Squares of side 4…

Q: Let f(x) = - 2x +7 and g(x) = x - 2. Find g(2) - f(2). g(2) – f(2) =

A:

Q: Let f(x) = 3x² + 4x – 1 and g(x) = 2x + 7. Find each of the following: a. (f + g)(x) b. (f + g)(4).

A:

Q: Differentiate the function. f(x) = 12x - 3+ 2x Select one: 4x4/3 +2 4x4/3 +2 4 - 3 4 +2 +2

A:

Q: If f(x) = (5x + 16) and g(x) = (x – 12)3, find all values of x for which f(x) = g(x).

A: Given ,f(x)=(5x+16)13,and g(x)=(x-12)13 To find: All values of x for which f(x)=g(x). Solution:…

Q: Let f(x) = V2x and g(x) = -11/2x . Find (f + g)(x) and (f - g)(x). Then evaluate f +gand f - g for x…

A:

Q: Let f(x) = 2- 4x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) - f(a) | for…

A: We use identity  (a+b)2= a2+b2+2ab

Q: State the end behavior of the function f(x) = -9x + 5x – 7x³ + 3x? – 6x As x - o, f(x) → Preview As…

A:

Q: (X). Give the domain of each. Let f(x) = 3x + 2 and g(x) = 2x-3. Find (f+ g)(x). (f-g)(x), (fg)(x),…

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

Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

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Q: Let f(x) = - 9x + 20 and g(x) = x² + 8. Find f(- 5) • g(- 5). f(- 5) • g(- 5) =

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: Let f(x) =(10x + 15) and g(x) = - (8 – 12x). Find all - 9 values of x for which g(x) = f(x).

A: Since f(x)=25(10x+15) and g(x)=14(8-12x)Our Aim is to find the value of x for which g(x)≤f(x).

Q: If f(x) = 6x – 4, find f(b + 2).

A: given,          fx=6x-4

Q: F={(2,6) (3,8) (4,5)} and g(x)=3x+5 f(4) + g(4)

A:

Q: Let f(x) = - 18x + 1 and g(x) = x² + 18. Find f(10) – g(10). f(10) – g(10) =

A: Given: f(x) = -18x+1 g(x) = x2 +18 Find f(10)-g(10)

Q: If f(x) = 15 + x, what is the ordered pair for x= -15 ? %3D O (-15, -225) O (-15,0) O (-15,30) O…

A: Given , F(x)= 15+x  the ordered pair for        x = -15

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.