If f(x) = x²-3x-10 x²+4x–45 and g(x) = x+9 %3D , find (f · g)(x) and any domain restrictions for (f · g)(x). %3D x+6 Select the correct answer below: x + 2 O f 8)(x) = where x 5, -9, –6 x + 6 x - 2 Of 8)(x) = where x # 5, -9, –6 %3D 9-x x- 2 Of 8)(x) = where x 5, -9,-6 x + 6

Q: x6(xy)² xy-1 If Find: a = b= is equal to xayb

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Q: Given f(x) = 4x + 8 and g(x) = x^2 + x; find (f∘g)(-5

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Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(2) b. g(-3)

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Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

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Q: Suppose f(x) = x²-3x - 5. Compute the following: A.) f(-5) + f(2)= B.) f(-5) - f(2)= Question Help:…

A: Here we have to find the value of the function at a point.

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 6. f(h(-9)) 8. g(f(8))

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Q: If f(x) = x² + x and g(x)= a = 1 and a = x. evaluate and simplify f(a+h)-f(a) h and g(a+h)-g(a) h…

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If f (x) = 2x + 6, g (a) = -9, find – 12 (f+g) (x) O 9x-12 -9(3x-1) -9(3x-4) O 9(3x+4)

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Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h…

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Q: If f(x)=x² - 6x + 5 and g(x)= - 4x, find the following compositio (gof)(-5) (gof)(-5) = (Simplify…

A: Solve the function

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

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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)=x²-17 and G(x) = 5-x. Find (F-G)(-7). (F-G)(-7)= (Simplify your answer. Type an integer or…

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Q: If f(x) = 3x + 2, and * g(x)=x +x - 2 , find gof.

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Q: If one zero of f(x) = x3 - 3x2 – kx + 12 is -2, find two other zeros.

A: A function is a relationship between set of input values and the set of outputs. The given is a…

Q: Are these two functions equivalent? Justify your answer in more than one way. i) g(x)= -4(2x+6)^2…

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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.