Find the domain and range of the function. f(x)=3x, -2 less than or equal to x less than or equal to 6

Q: (f + g)(x) = 4x² - 12x + 8 (Simplify your answer.) What is the domain of f+ g? (3-) 0, V (- 00,00) O…

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Q: The cost in dollars of making x terms is given by the function c(x) = 10x + 500. a. The fixed cost…

A: Given,            The cost in dollars of making x terms is given by the function C(x)=10x+500.

Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

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Q: the range of g (x): 1 +4 is: X-9 R- {-4} 0 R- (9} 0 R-(4} 0 R-(-9} 0

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Q: (x-1) If f(x)= Vx- 1) (V +1) Iff(x find the value of f"(4) %3D

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Q: If f(-6) = 6 and f '(x) < 8 for all x, what is the largest possible value of f (3)?

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Q: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue…

A: Given: Revenue cost: R(x)=-0.5 x-902+4050;   Cost function:…

Q: Suppose that f(x) = x2 + 4x - 21.(a) What is the vertex of f?(b) What are the x-intercepts of the…

A: a. The vertex parabola lies at x=-b2a for the f(x) =ax2+bx+c vertex is at x…

Q: True or False The x-intercepts of the graph of a function  y = f(x) are the real solutions of the…

A: We know that the points where the graph of a function y = f(x) intersects the x-axis give the zeroes…

Q: maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the nearest…

A: Please refer to the image below

Q: how is it possible to solve for the domain of f(x)=4x+x^2?

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Q: Suppose that for a certain product, during a certain month, the price-demand equation is x = 2500 –…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: For the problem (f/g)(x) when you have f(x)=2x+1 and g(x)=3x-2 how do you get the domain? I don't…

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Q: 1.Determine the function   f(x)=3(x-4)2+5    in the standard form and state the y-intercept.…

A: The standard form of quadratic equation is f(x)=a(x-h)2+k where (h,k) are the vertices. So the given…

Q: I am having a hard time finding the solution for this problem: f(x)=3x2+3x-4 f(x+h)   What are the…

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Q: Let f(x) be the function x +1 1. Find the following: f(4) =[ f(-7) =[

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Given the function: f(x) = 3x* – 4x³ (a) Find the relative extrema of the function. (b) Find the…

A: Given the function

Q: For what value of x does the function g(x)= (x²- 4)² attain the absolute maximum in the interval…

A: The given problem is to find at what value of x does function attain absolute maximum, we have to…

Q: Solve step by step the following problem (be clear please) XXXXXXXXXXXXXXXXXXXXXXXXXXXXX Calculate…

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Q: Given two functions: f(x) = 4x-6 and g(x)= 2x² - 3x. Evaluate %3D (4) and find the domain of (x) g…

A: Given:   To determine:

Q: Suppose that f(x) = x2 + 2x - 8.(a) What is the vertex of f?(b) What are the x-intercepts of the…

A: (a) Given function is: fx=x2+2x-8 Let y = f(x) Then we get,…

Q: p(x, y, z) 4 – x² – y²

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Q: When professors select texts for their courses, they usually choose from among the books already on…

A: The first-year sales are given by the function

Q: pretty dish can be determined by the function below.  b(t)=2(3)^t Which statement represents the…

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Q: Find f'(x) for the following (please do not use product, quotient, or chain rules): 4x³–3x²+2x-4…

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Q: Differentiate two ways: first, by using the Quotient Rule; then, by dividing the expressions before…

A: Disclaimer: Since you have posted multiple question, we will answering only 13th. In case you need…

Q: If total costs for a commodity are given by C(x) = 750 + 20x and total revenues are given by R(x) =…

A: Total costs, C(x)=750+20xTotal Revenue, R(x)=140x-x2

Q: need help with the specifics of solving functions. I'm asked to find the domain of f(x)= (x-3)^1/2

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Q: 3. For the graph of the function f(x) = x² – 20x + 102, find the following: a. Use completing the…

A: To Determine: for the graph of the following a) use completing the square to find the axis of…

Q: 3x 11 I < -2 f(x)%3= 1. N-2

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Q: When professors select texts for their courses, they usually choose from among the books already on…

A: fx=20-15e-0.2x

Q: For the f(x)=−x3+3x+6f(x)=−x3+3x+6 determine the coordinates of the turning point(s) and any…

A: See the attachment

Q: f(x) = x² + 16 X 6 0<x

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Q: help  needed with equation 3) Given that f(x) = 3x - 2  g(x) = 4x + 6   and h(x) = 2x2 - 8…

A: It can be solved by algebraically, by puting value and rule of composition pf two functions

Q: 13. The domain of f(x)=3x+5+2x' is 14. The range of f(x)=3x+5+2x' is 15. What is the value of the…

A: We have to find domain

Q: f(x) = 3x2 g(x) = 3 - 2x %3D Find f(g(3)).

A: a. Given that, f(x)=3x2g(x)=3-2x f(g(x))=3(3-2x)2 f(g(3))=3(3-2(3))2           =3(3-6)2…

Q: These problems want me to find the x and y intercepts. Can you please help me? f(x) = x4-13x2+36…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: F-1 (x):

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Q: 5x+1 Given g(x) find and simplify g'(x). 3x-1

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Q: 3.-X How many points of inflection does f(x) xe have?

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Q: want to check my answers on a and b.  as for c and di, how would i find the solution? Letf(x)=3–x…

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Q: For the function f(x)=5x +2 and h(x)=-2x^2+x+1 evaluate the expression f(7/2)-h(-2)= ? Need help on…

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Q: The cost in dollars of making x items is given by the function C(x)=10x+700. a. The fixed cost is…

A: C(x) =10x+700 When x=0 Fixed cost =700 For 25 items Substitute x=25 C(25)=10(25)+700

Q: If f(x)=-4x+2 and g(x)= \x-8, 14. find (fog(12) %3D

A: Given that  fx=−4x+2gx=x−8 To calculate (f o g)(12)

Q: Iff(x) = find f'(-1) %3D . (x+2)2

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Q: I need help solving questions like this, step for step with as much detail as possible please. thank…

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Q: If f'(x)=2x5-8x3+10cosx then state a possibility for the equation of f(x).

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Q: I am having trouble solving this problem.  Can you please provide me with some help?  Thank you.  I…

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Q: f(x)= 2x and g(x)= x+6 then what is the answer to the equation in the picture

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Q: If f(x) = 2x² – 3x + 8 %3D Find f(x + 1)

A: NOTE: Refresh your page if you can't see any equations. . to find f(x+1), we need to substitute x+1…

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.