f (x) = x - 3x +1 and g(x 4x2 + x +5. Which one of the Let following expressions is equivalent to f(x) + g(x)? O Cannot be determined Ox3 - 7x2 + x + 6 O5x2 - 2x + 6 Ox3 + 4x2 - 2x + 6

Q: If g (³x 3x-5 4 = 4x + 7, find g(2x − 3) -

A: Topic -functions We are given g3x-54=4x+7

Q: 2x2 – 8 x² – 16 Ax) =

A: We have to draw the graph

Q: f(x) = 3x² + 10x – 11 %3D

A:

Q: Evaluate -dx (л — 1)(1? — 6л + 10)

A: The given integral is  I=∫-∞∞2x-1x2-6x+10dx Using the partial fraction , we get…

Q: Vx + 3 Given f(x) = 4 then f-(x) will be %3D

A: The inverse function of a function f is a function that undoes the operation of f. The inverse of f…

Q: Which of the following is not a possible zero of f(x) = 2x - 5x + 14? 7 O 3

A:

Q: (2x+3)(x-1)

A:

Q: Vx + x – x

A: We rationalize the numerator

Q: Which of the following is not a possible zero of f (x)=2x-5x+12?

A:

Q: Find all the factors of f (x) = x³ – 4x² + x + 6.

A: GIVEN: f(x) = x3 - 4x2 + x + 6

Q: Write the standard matrix for a R² R² linear transformation that rotates points radians about the…

A:

Q: Subject = Discrete Structures In a group of 9 people is it possible for each person to have exactly…

A: It is not possible,  Imagine constructing an acquaintance graph in which each of the 9 people are…

Q: can the exprssion be simplified 8-[6(x+2)-3x}+2

A:

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: Differentiate the function √√7e³x - 1 2x² + 1

A: (u/v)' = (v.u'-uv')/v2 (u+v)'= u'+v'  (u.v)' = uv'+u'v

Q: Find the largest damain af the function : 2X+2X-1 x²+3X-10

A: Given  y = 2x2+2x-1x2+3x-10 To find the domain of the above function, we have to find the value of x…

Q: Find the domain of f

A: Given: fx=4x-3x2-4. Here, fx is defined only when 4x-3≥0 and x2-4≠0. When 4x-3≥0, x≥34 When…

Q: Explain why f(x) = 5x + 7x + x + 9 has no real zeros.

A: Consider the given: Descartes' Rules of Signs:Let fx be a polynomial with real coefficients and a…

Q: Which expression reveals the zeros of the function defined by -x + 7x - 12?

A: We have to find expression reveals the zeros of the function defined by  - x2 + 7x - 12  = - x2 + 3x…

Q: Which of the following expressions are polynomials? (a) 2x- x + V3 (b) x? -- 3Vx 1 (c) x + 4x + 7…

A: Which of the following expressions are polynomials? a) 2x3-12x+3The powers of the variables are 3, 1…

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

A:

Q: (b). Apply the indicated operator A2(x3 + 6x2 + 2x).|

A: Given term is  ∆2x3+6x2+2x

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: Consider g(x) = -x² - 4x + 12. Find and simplify g(x+2) - g(x-2). O a. -8x + 16 O b.-20 O c. -2x² -…

A: Topic- functions we are given g(x)=-x2-4x+12we need to find g(x+2)-g(x-2) and we know…

Q: Evaluate f (3x3-1)(x²+2) *5

A: the given integral is: ∫3x3-1x2+2x5dx we have to evaluate the given integral.   let the given…

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.