Let f(x)- 3x-4 and gix)= x² +4x +5. Find f(3) = f(-2)- 9(-3): g(2): flat2): glar2)

Q: Verify that f'(x) = 18x² – 9, where f(x) = 6x³ – 9x – 9.

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Q: If I have f^-1=2x-4 how can I find f(x)?

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Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: Find the quotient x+h)-f(x) for f(x) = 7x – 3x²

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Q: Differentiate f(x) =- from the first principles. x2+3

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Q: 2. Find f(3x) if f(x) = 4 – 2x². (

A: We have to find f3x if function is given as: fx=4-2x2 In this case we just have to replace the value…

Q: V7x+2-V6x+4 = )f(x مستمرة عند 2 = ۲ if x 2 and x # 2 1- قيمة الثابت الذي يجعل الداله (x-2) if x = 2

A: Continuous at x=2,  using rationalization

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

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Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

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

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Q: If f(x) = x2/3x +1,then f'(x) -3x2- 2х (A) V3x+1

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Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

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Q: [3] If f(2x+3)=4x²-2x+3, find f(x)

A: Firstly put t=2x +3 and find f(t) ,After that replace 't' as 'x'.

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: Let f(x) = x² + 2x – 1 and g(x) = 2x – 4. Find 3f(x) – 2g(x). - -

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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: Let f(r) = 5z² +3x +5 f'(x) = f'(3) =

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Q: Find the point of f(x) = 2x3 - 9x2-17x - 3 is at [0, 00) on which concavity changes. %3D

A: We draw graph of given function.

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: Suppose f"(x) = 30x - 16, f'(- 1) = 33, and f(- 1) = - 23. Then f(x) = %3D

A: see below the answer and calculation

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

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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: The functionf(x)=5x−1 f ( x ) = 5 x - 1 is shown on the coordinate plane. Which statement is true?

A: A limit in which f(x) increases or decreases without bound as the value of x approaches an arbitrary…

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

Q: Find sum of two polynomial f(x) = x^3-7x+6 and g(x) = 5x^3-8x+1

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Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

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: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

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Q: Find fg.f(x)=5-x²,g(x) = x² + 4x – 12 (fg)(x) = x - 4x³ + 17x2 + 20x -60 (fg)(x) = - x*- 4x3 + 17x2…

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Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: The domain of f(x)=V4-x+Vx-4 is

A: Given that f(x) = √4-x + √x-4 find the domain of function f(x) . We know that the domain is the…

Q: If  f(x) = x2 - 2x - 2  then f(-2) =

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Q: f(x)=3x2-4x-10 is then f'(1) will be

A: Given, f(x) = 3x2-4x-10

Q: 2 Let f(x) = V5x² + 4x + 8 f'(x) = f'(3) =

A: Given : fx = 5x2+4x+8

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

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

A: Given function is

Q: f(x) = -(x2 + 2x - 3) %3D f(x) 10-

A: Given:- f(x) = -(x2 +2x-3)  To find:- STANDARD equation of f(x)

Q: Find the all extreme points of f(x) = x³ – 6x2 + 9x – 3 is or [-2, 2] ? |

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Q: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: Let f(x) = x2+ 2x-1 and g(x) = 2x- 4. Find 2f(x)- 3g(x). 2x2 - 2x - 14 -3x2 – 2x- 1 Option 1 Option…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: If f(x) = x2 - 3x + 4, find f(-2). %3D

A: Given that f(x) = x2-3x+4. So,          f(-2) = x2-3x+4                 = (-2)2-3(-2)+4.…

Q: Suppose f''(x) = 12x – 14, f'(2) = 49, and f(2) = - 32. %3D - %3D %3D Then f(x) = %3D

A: Given,           f"(x)=-12x-14, f'(x)=-49, and f(2)=-32

Q: Show that f(x) = 2x3 + 3x2 − 36x is not one-to-one on (−∞, ∞).

A: Given: f(x)=2x3+3x2-36x, -∞,∞

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: Find f. F"(x) = 20x³ + 12x²+ 4, f0) = 4, ( 1) = -1 Ax) =

A: Let us denote y = f(x). So,…