Let S 8x x< 30 -6x + 420 x > 30 f(x) 70 Evalute f(x) dx.

Q: Find the domain of the function F(x)= 11/x-15

A: Given query is to find the domain of the function.

Q: f(5 + h)- f(5) Then lim DNE If the limit does not exist enter DNE

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Q: Let F(x)=x^2-13 and G(x)=18-x Find (F⋅G)(-1)=

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Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Let f(x)=2x^2−2 and let g(x)=5x+1. Find the given value. f[g(−2)]

A: Given: f(x)= 2x^2-2    g(x)= 5x+1

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A: Given f(x)=e(-2x^2-4x)

Q: Evaluate f(x) = 42x – 1 , at x = 0. f(0) =

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Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

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Q: If f(x) = ax , show that f( - x) = 1 / f(x) .

A: We have to show that: f-x=1fx Where given function is fx=ax. Taking LHS (putting x=-x in fx ), we…

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

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Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

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Q: f(x) f'(x) x100

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Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: -2 -1 0 1 3 5 6

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Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: I need to find f"(x) when f(x)= (x2+10)6

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Q: x(t) = L−¹ x(t) = L−¹. x(t) = L−1 .2 S² + 5 (3s² +9) (7s² - 5s +6) s² (s + 2) -4s² - 4s - 4 (s +…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Let f(x) = x^2/√x−10 + 1/2x−30. Find the domain of f

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Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 &lt; x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: The following limit represents the derivative of a functionf at a point a. 5 tan 6. V3 f '(a) = =…

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