If f(x) = 3x + 2 and g(f(x)) = x, then g(x) is equal to: A. x-2/3 B. 4x +9 C. 1/3(x-2) D. 3x-2

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

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Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: Given that f(x) 2x+7 %3D 3x-5' determine the equation of f-(x)

A: The given function is fx=2x+73x-5. Let fx=y. y=2x+73x-5 Replace x and y as follows. x=2y+73y-5

Q: Given : f(x) = x² – 3x +1 and g(x) = Vx – 2 g(f(-2)) -

A: Given:     To determine:  g(f(-2))

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: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: If f(x) = x2 – 5 and g(x) =/ x2 + 25,then (fo g)'(x) is equal to

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Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

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Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: Given f(x) = x ^ 2 + 3x - 1 and g(x) = 2x + 1 ; what is (fog)(x)

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Q: Given: f(x) = 4x“ – 15 and g(x) = 2.x+11 %3D What is the value of g(f(x)) ?

A: Given f(x) = 4x4 - 15g(x) = 2x+11g(f(x))=?

Q: If Iƒ g(x) = −3x − 4 and h(x) = −x² + x, find g (h (8)). -

A: Given gx=-3x-4hx=-x2+x

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: If f(x) = x³ – 2.x² +3 , the only point where f could change the concavity is 2 b) x =- 3 a) x =- c)…

A: Finding the inflection points

Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

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Q: Given f(x) = 3x° + kx – 10, and x – 2 is a factor of f(x), then what is the value -- of k?

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Q: If f(x) = 2x2 – 3x + 1 and g(x) = x + 5, what is f(g(x))? %3D - A 2x2 + 17x + 36 C 2x? – 3x + 6 B. B…

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Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is thevalue of A ?

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Q: f(x)=x2+3f(x)=x2+3 and g(x)=4x+1g(x)=4x+1, what is f(g(2))f(g(2))?

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Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: Find the general solution for: X' = là X. -3 %3D

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Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: Given f(x) = 5x - 3 and g(x) = x-, find g(f(2)). %3D

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Solve f"(x) for a)x^4-3 b)x^3-2x c)(1/2)x^4-3x^2+4x d)x^2-(1/2)x-2

A: As per Bartleby guidelines we can solve the first three subparts only. If you need more answers…

Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: = x, find (f o g-3). Given that f(x)=2x+3 and g(x) (fo gX-3)-

A: (fog)(-3)=f(g(-3))

Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

Q: For f(x) = 25x3 + 50x2 - 4x +10 ... how do I find all values of x for which f(x) = 18 ?

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Q: Differentiate the equation below by using First Principle Method. (a) f(x) = 3x² + 7x (b) f(x) = -x²…

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Q: If f(x) = x2 – 5 and g(x) = V x2 + 25,then (fo g)'(x) is equal to

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Q: If f(x) = 2x¬1, then f'(x) is equal to a. x2 b. 1 2x C. 4 x3 d. 4 x3

A: Given :   Discontinuity And f(x)=2x-1

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

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

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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

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

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