Find the domain of f(x)=2x+10/3x+4 Enter the solution in interval notation.

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: Find the Interval where 2x + 3 5

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Q: A bus can accommodate a maximum of 60 passengers. If X denotes the number of male passengers, what…

A: If there are maximum 60 passengers that can be accommodated in the bus, then the possibilities of…

Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

A: The given function, fx=x2-7x-5

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: 4. Use the Intermediate Value Theorem to show that the equation 2x3 + x – 2 = 0 has a root in the…

A: The given equation is 2x3+x-2=0 has a root in the interval -1,1

Q: use graphs to find approximate solutions 3x - 0.5 = 0

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Q: Ex+ 8x3-72x?+4 三X'

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Q: Express as an interval: {x : |5x + 3| ≤ 2}

A: Given : {x : |5x + 3| ≤ 2} Solve Absolute Value.   5x+3≤2   We know 5x+3≤2 and 5x+3≥−2   Solve…

Q: Solve   f(x) = 0-3e-1

A: Given that fx=0-3e-1   Using calculator, we get fx=0-3e-1=-3e=-1.103

Q: Determine the domain and range of the quadratic function.   f(x)=−4(x+1)^2 − 4   Enter your…

A: We have to find the domain of :  f(x)=−4(x+1)2 − 4.

Q: how is this equation odd?  f(x)=1/x+15x^3

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Q: Find the maximum and minimum values of 3x -2x³- 6x² + 6x +1 in the interval (0, 2).

A: Given that f(x)=3x4-2x3-6x2+6x+1  We have to find maximum or minimum value in (0,2)…

Q: Solve f(2) for f(x) = -4x + 3 %3D f(2) = [? ]

A: Put x= 2 in equation We get  - 4(2) + 3 -8 + 3 - 5

Q: Solve for x x'(t)=x-t

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Q: 4. Solve x(x + 6)(x – 8)²(x – 1) > 0 by sketching. Express your answer using interval notation.

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Q: Find x-intercept of: f(x) = -2x2 - 5x + 1

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Q: Find the point at which the line f(x)=5x+14 intersects the line g(x)=−2x (_,_)

A: Given that,  Line f(x) =5x+14 and line g(x) = -2x intersects. So, both the function gives the same…

Q: Solve for x: +x²+.. +x"- 10 where x<1. -1+ - %3D ...

A: Given: -1+1x+x+x2+...+xn+...=103, where x&lt;1, To find: The value of x.

Q: Solve f(-4) for f(x) = -4x+ 9 %3D f(-4) = [ ? ] Enter

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Q: If f(x) = - 2x + ax² +2 and f(2) = 2a, find a. %3D 2.

A: A function is a relation connecting two variables, in such a way that one  variable varies with the…

Q: Select all the functions that are a solution of y" - y = 0

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Q: X -2

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Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: 20053x-1-0

A: in problem (b)   2cos2x - 1 =0cosx = 12

Q: Show that the equation x" = 10 has at least one solution on the interval [1, 5

A: Find your answer below

Q: What would the solution set for x(x+3)(x−3)≤0 in interval notation?

A: Find the values of x where x=0.

Q: how

A: The given function is a third degree polynomial.

Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

A:

Q: Find the break-even point F(x) = 40x^2 -60x +228 G(x) = 23x^2 - 20x + 3000 %3D

A: At break even point F(x)=G(x)

Q: of f (x) = 1³ + 2z² + 3x + 6?

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Q: Solve using the crossing-graphs method. Express to two decimal places. 20/9+4x=x

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Q: Write an equation of the quadratic function with the vertex at the point (-1, 4) and such that f (0)…

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Q: y' = 2xy²; y 4 – x2

A: Differential equation

Q: Solve for x. Express your final answer in interval notation. x - 2x2 – 11x + 12 >0

A: We will find out the required solution.

Q: Solve f(-4) for f(x) = -4x +9 f(-4) = [ ? ]

A: Given: f(x)=-4x+9

Q: The value of x which satisfy 3x + 1| < - is : 5.

A:

Q: 2. How many, and what type, of solutions exist for the function f(x) = x - 3x- 27x + 19x² +114x-72?

A: Given: f(x)=x5-3x4-27x3+19x2+114x-72

Q: Calculate the real values of x and y such that (x+y)3 is bigger than 8?

A: Given, x+y3&gt;8

Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

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Q: Solve f(-4) for f(x) = -4x+ 9 f(-4) = [ ? ]

A: f(x)=-4x+9

Q: Determine its vertex and axis of symmetry    f(x) = 3 (x +1)^2 - 6

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Q: . What is the domain of v15z -3r? State your answers in interval notation.

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Q: Solve f(-6) for f(x) = 3x+ 15 %3D f(-6) = [ ? ]

A: Given: f(x)=3x+15

Q: Find f(x) = 3x2 + 9x – 13 as x = -6

A: We have to find the value of the function f(-6).

Q: Why is it important to obtain all multiple solutions when they exist?

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Q: Solve for f(-1). f(x) = -3x + 3 %3D

A: The function is given as fx=-3x+3 The objective is to find the value of f(x) at f(-1)

Q: Find the points of discontinuity for 3(х+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х — х2 b) f(x): 9— х2 -

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