Consider the following functions. f(x) = x², g(x) = Vx – 6 %3D Find (fo g)(x). I Find the domain of (fo g)(x). (Enter your answer using interva Find (go f)(x). Find the domain of (go f)(x). (Enter your answer using interval Find (fo (x).

Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

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A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Find the domain of function defined as follows. y = ln(x2 - 16)

A: y=lnx2-16Domain:       The domain of a function is the set of all possibleinputs for the function

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Q: Find the derivative of function defined as follows.

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Q: Find the derivative of the function f(x) = 4v3x² – x. 12х - 2 A. V3x2-1 6х - 2 бх — 1 C. V3x2 –1 E.…

A: To find the derivative of f(x)=43x2-x

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Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx) is,

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A: Find derivative using  definition of f(x)=1x at a=4

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Q: Find the absolute extrema of the function on the closed interval.

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A: Given: f(x)=210x8+9x615

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Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: find all possible functions with the givenderivative. y' = -1/x2

A: Given: y'=1x2

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A: Topic = Derivative

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Q: nd the derivative of the functionf(x) = v 5x+6 using the limiting proces A) S'x)= - 2 5x+6 Sx) = 2…

A: We are asked to find the derivatives of the function using limiting process.

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Q: Find f'(a) using the definition of the derivative at a point for f(x) = 1 VI at a = 7.

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Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

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A: according to our guidelines we can answer only three subparts, or question and rest can be…