The domain of the function f(x) 2x+4 is Зх-12 a) {x/x 2 4 and x # 2} b) {x/x 2 2 and x # 4} c) {x/x 2 2 } d) {x/x 2 -2 and x # 4} Select one: O (c) (a) (d) (b)

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: A and Bare open and bounded.

A: For second one we can take any two open interval one of whose right end point ar same of the others…

Q: Find the limits. f(x) = 2x²-3x + 15, g(x)=√√x + 3 3

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Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

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Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…

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Q: Show that f(x)=x5-x3-1 has a zero between 1 and 2.

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Q: The domain of f(x)= Vx² – 3 is {x:xs-V3 or x 2 v3} %3D | True False

A: Quantity under square root should be always positive.

Q: 23) f(x) = -2x³(x - 1)²(x + 3)

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Q: Find bn if the function f(x)=x^2.

A: bn-fx=x2 Fourier series of                     fx=x2   is                     fx=902+∑n=1∞an…

Q: 1. Differentiate. Show your work to get credit. a) g(x) = x* In(2.x² +7) by using the product rule.

A: SInce multiple subparts are asked, I am ansering only first 3

Q: 8. Explain why the power rule cannot be used to differenti- ate the function (2 – x) 1/3.

A: To explain: The reason that the power rule cannot used to differentiate the function 2-x13. Concept…

Q: D if x,Y,2 inclepndent Variables and z function in X, Y which achieves the eguation find az…

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Q: snip

A: Given polynomial function is: fx=x7+6x5-x4+x+2 We will check whether 23 is a zero of f(x).

Q: When f(x) = 6z² + 4z + 1, evaluate f(3) f(3) =

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Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

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Q: For the function f(x) = /=+2, find ƒ-'(x). %3D 4 Of (x) = (4 (x - 2))° Of- (x) = (4x – 2)5 O f-(x) =…

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Q: Be f(x) = 3x^2+7x-2, g(x) = 4x^2-x+1 and h(x) = x^3+x^2-2 determines:

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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: 6 Identify any point(s) of inflection of f(x) = -3x³ + 5x³ and justify. %3D

A: The given function is: f(x)=-3x5+5x3 To find the inflection point we have to check the concavity of…

Q: Which statements about the function f(x)=2x^2+22x+56 are true,

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Q: Apply the three-step method to compute f'(x) where f(x) = 9x² + 2. %3D

A: Given  f (x) = 9x2 + 2 .

Q: 8. Use f(x) = 2x -3 and g(x) = 1 - 2x to evaluate 8(f(2)). %3D

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Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

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Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: 2 Is a zero of f(x) = x' + 6x° – x* + x + 2? Explain.

A: If 23 is a zero of f(x)=x7+6x5-x4+x+2 then it gives f(x)=0 f23=237+6235-234+23+2…

Q: Let f (x) = 2x and g (x) = 3x2 + 1, find(go f) (x). Show your work using the Equation Editor Tool.

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Q: @ f(x)= x²-3x-4 2 @ f(x) = x² - 4x +3 Show that whether f(x) reduceable Poly or not

A: The given problem is solved below in detail.

Q: Suppose that f( – 4) = 4 and that f'(x) = 4 for all x. Must f(x) = 4 for all x?

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Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

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A: Is 13 is a zero of fx=2x3+3x2-6x+7 ? Explain.

Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

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Q: Let f(x) = 2x² + 8x – 9. According to the definition, -

A: Derivative: - Differentiation is the pace at which one quantity changes in relation to another. The…

Q: Let f(x) = 10(.6)× And IF g(x) = f(x+1)-3 %3D

A: Given data: The given function is f(x)=10(.6)x. Substitute the given values to evaluate the given…

Q: Explain why f(x) satisfies the Intermediate Value Theorem. f(x)=ex - x3 - 8

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Q: Calculate R_5 for f(x)=2x^2+8x over [-1,1].

A: Given: fx=2x2+8x The interval is -1, 1

Q: Find f'(2) for f(x) 2 (x-)-

A: Given; f(x)=(x-1/x)^2 We have to find f'(2)=?

Q: B. Qurfient Rule ) f x)= x² 3x²

A: fx=x3-3x2x

Q: Determine the maximum number of turning points of f. 31) f(x) = (x – 2)2(x + 4)2 %3D

A: To find the turning points f(x)=(x-2)²(x+4)²

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: What is the domain of f(2) = Va + 4?

A: Domain is {x€R; x>=-4}. And explanation is given below....

Q: Set  up the composite (gof)(x) when f(x)=2x^3-7x and g(x)=9x^2-7

A: Given function is

Q: what is f(x) = 5x + 7 and the domain is { 0, 2, 6 }

A: The given function is,                     f(x) = 5x + 7 Domain is given as, {0, 2, 6) , we want to…

Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

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Q: a) Determine the domain and range of the function z = 4 - V9 - (x² + y?).

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Q: 8. Find the zero of f(x) = 5x - 3. %3D

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of…

A: Given Fx=k1x+k2x Differentiate w.r.t. x, F'x=-k1x2+k2F''x=2k1x3

Q: What are the critical points for the function f(x) = 2x3 2a – 9x? – 108x + 5 x = 3 and x = -6 x = 2…

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Q: True or False The domain of 1f # g2 1x2 consists of thenumbers x that are in the domains of both f…

A: The domain of (f·g)(x) consists of the numbers x that are in the domains of both f and g

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

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