Given that f(x) = 3x-2, g(x) = 4x+6 and h(x) =2x2 - 8                                                  x Find: i f(-5) = ii. h[f(2)] = iii. f[g(-1)]= iv.hof(x) v.g-1(x)=

Q: (a) Write the equation in slope-intercept form, and determine the slope and y-intercept. (b) Graph…

A:

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

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) = 7x-2 and g(x) = 4x - x2, determine the following: a. f(x) o g(x) Answer (a):

A:

Q: determine the X intercept of f(x)=2X -4 divided by X - 1

A: x- intercept is the value of x coordinate at which the value of y=0.

Q: Find a. (f + g​)(x​)     b.​ (f+g​)(7​).   f​(x​)=3x2 - x- 5, g(x) = x – 1 ​   (f + g)(x) =…

A:

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

A:

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: 7) Determine when the function f(x) = 6x - 35x +56x - 20 is positive and when it's negative.

A: The given function is: f(x)=6x3-35x2+56x-20

Q: How can i find the difference quoitent for : f(x)=5x-8

A: Given function

Q: If (fg)(x) = 4x2 - x - 5, find f and g.

A: Given:(fg)(x)=f(x)·g(x)=4x2-x-5 we will factor the quadratic…

Q: y = C¡e e-2= + Cze³* + C2e%

A:

Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .…

Q: If f(x) = 3x + 5x2 – x + 6, find f(0) and f(-2).

A: We have given fx=3x3+5x2-x+6. We have  to find f0 and f-2

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: 1. f(g(2)) 2. f(g(x)) 3. f(f(x))

A: Kindly note, As per the company rule, we are supposed to solve the first three subparts of a…

Q: Find both of the two x intercepts of the function F(x)= (x-3)(x+7)/x(x-5) Smaller intercept = Larger…

A:

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: If f (x) = x² + 5 and g(x) =x- 4, evaluate

A: given  f(x)=x2+5 g(x)=x-4

Q: If ) = x - 5and g(x) - x', Find g-2)) %3D

A: Given that, f(x)=x-5 and g(x)=x2

Q: If f(x) = 7x - 2 and g(x) = 4x - x2, determine the following: a. f(x) ∘ g(x) b. (g ∘ f)(-4

A: Follow 2nd step

Q: If h(x) = -2x2 - x + 4, find h(-2), h(-3), h(4), and h(5).

A: We have to find the value of the function at certain points . In general for a function fx we can…

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.