Let f(x) = 2x - 9 and g(x) = for which f(x) > g(x). = 5x + 4. Find all values of x

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

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A: Given

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A: The given function is f(x)=x3-3x2+3. It is required to find the interval in which the function is…

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

A: Given fx=x2+2x-1 & gx=2x-4 To find 3f(x)-2g(x):

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A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

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Q: Consider the function:  f(x)=5x+2   and   g(x)=3x-4  Solve for - (f°g) (x)

A: Given:

Q: Find f(-3) for f(x) = x² – 3x + 3

A: Given f(x)=x2-3x+3 To find f(-3) we put x=-3 in the above function.

Q: Determine the values of x for which f (x) = 1x − 4 is increasingand for which decreasing

A: fx=1x-4 Differentiating with respect to x, we get f'x=-1x-42    ∵ddx1x=-1x2

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A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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Q: Find the function f(x) such that f'(x)=3e-2x-6x2+1 and f(0)=2

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Q: Let h(x)=f(x)+g(x). If f(x)=6x4 and g(x)=9x7, what is h′(x)?

A: Given that       h(x) = f(x)+g(x)  Also given f(x)=6x4  and  g(x)=9x7. Here we have to find h'(x) .

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

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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A: Derivatives

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A:

Q: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: Let h(x)=f(x)g(x). If f(x)=−2x2+2x+3 and g(x)=−x2−3x−4, what is h′(−1)?

A:

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

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Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

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Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

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Q: The domain of f(x) = v2x + 1 is

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Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

A:

Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

A:

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?

A: Add the given two functions and differentiate with respect to x

Q: the function f(x)=x^3-3x^2+5x has neither maximum nor minimum?

A: Consider the given function. fx=x3-3x2+5x Find the derivative of the function. f'x=3x2-6x+5x Put the…

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

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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: Find the local extremum  f(x)=x3+3x2-9x+6

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

A: Solution of given question is written in below step.

Q: Find all the possible x-values of f(x)=√x - 2

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Q: Find the f’’(x) of x3 – 5x + x.

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

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Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: Find the absolute maximum and minimum values ​​of the function f(x)=x2−3x2+1 in the interval [-1/2,…

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Q: Find f' (x) for f (x) = 8x-3e. %3D

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Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

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Q: Find g(f(x)) for  f(x) = 4x - 8 g(x) = 7 - 6x

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Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

A: