Find gof and fog, if(i) f(x) = | x | and g(x) = | 5x – 2 |(ii) f(x) = 8x3 and g(x) = x1/3.

Q: if h(x)= x2 -1 and k(x)=5x-3 what is h(x)*k(x) I keep getting 5x3 -3x2 -5x+3 what am I doing…

A: Given h(x) = x2-1   and k(x) = 5x-3To determine h(x) x k(x)

Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

A:

Q: I know this question was already asked and answered, but the answer is incorrect, please help!   A…

A: Given data C(x)=13x+108,  R(x)=7x.

Q: If f(x) = 3x+1 and g(x) = 5x^2 then (fog)(x) is

A: fx=3x+1  and  gx=5x2

Q: If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

A: Given:fx=3x2-2 and gx=4x+2f+g-1=

Q: What is the result of completing the square for f (x) = x2 + 1?

A:

Q: Suppose that the cost of producing x apple is c(x) = 2000 + 100x - 0.1x^2. Find the

A: Given: cx=2000+100x-0.1x2

Q: If g(x)= 5X3+3x2+3x+5, what is (g-1)'(z) when z=5?

A:

Q: find maximum and minimum of f(x)= 3x2+15x2-36x+10

A:

Q: s x−1 a factor of f(x)=4x^3−8x^2+8x−4​?

A: Given: To find whether x−1 is a factor of f(x)

Q: 4. Find the inflection points of f(r) = x-4r + 18x2-6x+1

A: To determine the inflection of the given function.

Q: A fast-food restaurant has a cost of production C (x) = 11x + 108 and a revenue function R(x) = 5x.…

A: when production cost become equal to revenue then that point will be equillibrium and if revenue…

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: A fast-food restaurant has a cost of production C(x)=11x+76 and a revenue function R(x)=7x. When…

A:

Q: Find g(5a – 2) + 3g(2a)if g(x) = x² – 5x + 8 - -

A: Given: gx=x2-5x+8 Finding the value of: g5a-2+3g2a       -1

Q: The revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

A:

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x – 0.7x² and C(x) =…

A:

Q: What is the leading co-efficient of. 6x -9 f(x) = 1 x ²³² 4 +

A: If y = ax^2 + bx + c  than leading coefficient is a

Q: Find the general solution of the DEs 1- f"(x)= y"(x)=12x +6x-8

A: The given differential equation is a second order differential equation so we will first reduce its…

Q: 2. Given the function f(x)%3D10X²+13x-3 and one of its factors (2x+3), determine the other factor.

A: Given: A function fx=10x2+13x-3, with one of its factors as 2x+3

Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: Find (fog) (4) when f(x%=D2x+20and glx)=-2x -8x+8

A:

Q: the graph of the quadratic function f(x) = x2 + dx + 5d has its vertex on the x-axis, what are the…

A:

Q: If f(x) = 3x – 4 and g(x) = x³ + 2x², then (fog)(x) is?

A: Given function  f(x) =3x-4       and  g(x)=x3+2x2

Q: f(x)=x^2+7x and g(x)=9x+1 (fog)(x)= (gof)(x)=

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

A:

Q: A fast-food restaurant has a cost of production C (x) = 13x + 126 and a revenue function R(x) = 6x.…

A: Given: C(x)=13x+126 R(x)=6x The company will start to turn a profit when the revenue function will…

Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

A:

Q: g(x) 4x-3 and h (x) = 3x+4 g(n(-2)) then what is

A: The functions gx=4x-3 and hx=3x+4 then we have to find gh-2.

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration  ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: Q2/ Max and Min F= 2X1+ 5 X2 using graphical method: X1+2X; < 60 Xi+X; 2 30 X1-2X; 20 X1, X; 20

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: 2. Find the x-intercepts for g(x)= 3x² -12x² - 36x

A: To find the x intercept we have to put y = g(x) =0

Q: If f(x)=f(x)= x3+5x2+6xx3+5x2+6x and g(x)=g(x)= x+2x+2 , what is the simplest version of…

A: given function:-    f(x) = x3 + 5x2 + 6x    g(x) = x + 2

Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

A:

Q: Find the point on the graphf(x)=4-x^2 that is closest to the point (0,1)

A: To find the point on the graph f(x)=4-x2 that is closest to the point (0,1)

Q: 12) lz) - 3x - 2r glx) - 3x - 5 Find (f gX1)

A: Due to Bartleby guidelines, only 1st question can be answered if multiple questions have been asked.…

Q: If the graph of the quadratic function f(x) = x2 + 5dx + d2 + 1 has its vertex on the x-axis, what…

A:

Q: tees is x2-16 x+4 14. f(x) = g(x) = * x2-5x+4' x-1 -2 -1 0 1 3 4 f (x) g(x) 2.

A: Given function is fx=x2−16x2−5x+4 and gx=x+4x−1 Simplify fx=x2−16x2−5x+4…

Q: A fast-food restaurant has a cost of production C(x)=13x+95 and a revenue function R(x)=8x. When…

A:

Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: b) (fog)(2) d) (gof)(3)

A:

Q: A fast-food restaurant has a cost of production C(x)=13x+110 and a revenue function R(x)=8x. When…

A: GivenC(x)=13x+110R(x)=8x

Q: -2x *(6x-15x² +9x) =x'e* D² -D+3 true Error

A:

Q: F(x) = 2x^3 -11x^2 -7x+6 and X=-1 is a solution,

A: Put value in function if get 0 then this the solution

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.