Find 3[g(4)] if g(x) = -2x = -2X + 10

Q: Find the domain of x/6x+25

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

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

Q: Let f (x) = 2x + 4 and g(x) = 2x - 6. Find (a) f 1x2 + g1x2, (b) f 1x2 - g1x2, (c) f 1x2 g1x2, and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Divide the polynomial f(x) = x + 4x² + 5x + 2 by (x + 2) (x³ + 4x? + 5x + 2) ÷(x + 2)

A: Given the polynomialf(x)=x3+4x2+5x+2

Q: 2x2 – 8 x² – 16 Ax) =

A: We have to draw the graph

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

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Q: Suppose that g(x) = 3x6 6x ®. Evaluate the following: – d(1) d (5):

A:

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Find f(2n + 5) + 4f(3n) if f(x) = -3x2 - 7x - 1

A: Given query is to find indicated function operation.

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: In a 6 acre apple orchard, it is decided to plant 20 or more trees per acre. If 20 trees are planted…

A: Actual formula will be : A(n) = 6 * (20 + n) * (700 - 12 * n)where, n represents the number of…

Q: Perform the operation g(x)=2x-5 h(x)= 4x+5 find: g(3) - h(3

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Q: - If g(x)=-9x+2 evaluate g (0), g (-5) and g(2x+3)

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Q: Find x x-3 x-1

A:

Q: Find the other zeros of f (x) = 3x* – 16x + 14x² + 24x – 9, if 3 is a zero of a function.

A: We will solve it by division algorithm Given f(x) = 3x4-16x3+14x2+24x-9 Given 3 is the zero of the…

Q: If f(x) = 3x² + 6x – 5, find the following: (a) f(5) = (b) F(-1) = | (c) f(-6) =

A: Given               f(x)=3x2+6x-5we have to find  f(5)    replace x by 5 in f(x) f(-1) replace x by…

Q: what are the possible zeros of f(x)=−6x 5 7x 3 + 12?

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Q: For each function, determine whether it is a polynomial function. (a) (b) Function (d) v(x)=-2+4√x…

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Q: Vx2-7x+12

A: Set the radicand in (√(x 2 −7x+12))greater than or equal to 0 to find where the expression is…

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: ささ。 てpo (x)()p 'メ- (Xけ P7 X and (83)

A: Given that                f(x)=1-x2 Now we find (f∘f)(x) .              (f∘f)(x)            =f∘f(x)…

Q: Find (f.g)(-5) whenf(x)=-9x-9 and glx%%=D-8x2-8xtle

A:

Q: or g(x) = x2 +5 x+ 3, find and simplify fully g(3+ h) - g(3) %3D a) g(3+ h) = b) g(3) = %3D (c)…

A: Topic = Functions

Q: L3Q4. Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6. A.- 4x2 B.4x2

A: To find f+gx, if fx=-5x2+6 and gx=x2-6.

Q: Is x + 10 a factor of the function f(x) = x3 - 75x + 250? Explain. O Yes. When the function f(x) =…

A: Dividing f(x) with x+10

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…

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.