The critical point (s) for is/are: y = f(x) = 4x³ - 30x² +48x+8 a) (-4, f(-4)) and (-1, f(-1)) O b) (4, ƒ(4)) and (−1, ƒ(−1)) Oc) (-4, f(-4)) and (1, f(1)) d) (4, f(4)) and (1, f(1)) e) None of the above

Q: Suppose f(x) = 5x 6 and g(x) = vx² – 4x + 8. %3D - - (f o g)(x) = (f o g)( – 5) =| %3D

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Q: If ƒ(x) = 2x and g(x) = x + 1, find (a) (ƒ  g)(x) (b) (g  ƒ)(x) (c) (ƒ  ƒ)(x) (d) (g  g)(x).

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Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: Letf(x) = x² – 5x + 6, g(x) = 5x – 1, find the following: (1)(f + g)(x) = (2) (ƒ − g)(x) = - (3) (ƒ…

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Q: f(x) = 4x² + 1; a = 2, 4

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Q: Given that f(x) = (x − 2)² and g(x) = 6 – 5x, find - (a) (ƒ + g)( − 3)= (b) (ƒ — g)( − 3)= - (c)…

A: Given function:- fx=x-22 gx=6-5x

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: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: Given the functions f (x) = 3x - x.g(x) =7,h(x) = 9z, find gof(z) O gof(x) = 3-7 O gof (x) = () (322…

A: Composite function is a function in which there are more than one function and value of one function…

Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

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Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

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Q: if Pga)ろ-2X+ 6 and f(x)= /x Rind g(x) )-? %3D

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Q: If Var(X) = 5 and Var(Y)=10, then Var(3X-2Y) is

A: Given that Var(X)=5 Var(Y)=10 we have to find Var(3X-2Y) ?

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

A:

Q: If f(x) = (2x + B) / (x - 3) and f(5) = 8, what is the value of B?

A: Given that f(x)=2x+Bx-3 Need to find the value of B.

Q: 1. f(g(2)) 2. f(g(x)) 3. f(f(x))

A: Kindly note, As per the company rule, we are supposed to solve the first three subparts of a…

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

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Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

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Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

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Q: 2. Find f(g(5)) if f(x) = 2z + 5 and g(x) = 3x2 %3D O f(g(5)) = 675 O f(g(5)) = 155 %3D O f(g(5)) =…

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Q: f(x) = 4 − 2x/(x + 1)(x + 3)(2x + 1) = A/(x + 1) + B/(x + 3) + C/(2x + 1) find the values of A,B,C

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Q: uation of the tangent line to ƒ at x = 1.

A: Given that: The equation is f(x) = x2+3x .

Q: 2. If f(x) = x² + 4x + 6, which of the following is equal to f(x + h)? (A) x² + 2xh+h² + 4x + 4h + 6…

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Q: A group builds racing drones. An examination of the data shows that it costs C(x) = 0.0014x² +…

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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: If h(x) = 4x – 3, what is an equation for h-1(x)? O A. h-1(x) = 3x + 4 O B. h-1(x) = 3x – 4 O C.…

A: