Does f(x) =x3 -1 on [-1,1] satisfy the conditions of Rolle's the Rolle's Theorem. Justify your answer. value that satisfies

Q: For the functions given, find a) (f • g)(x) and b) (f•g)(2). f(x) = x- 5, g(x) =x+8 a) (f•g)(x) =…

A: Here two functions are given f(x) and g(x) . We have to find the composite functions. That is…

Q: Prove algebraic ally that any function of the form f(x)=ax2n+4 (where n is an integer) is symmetric…

A: The given function is fx=ax2x+4. To prove fx=ax2x+4 is symmetric to the y-axis, it is enough to…

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: 6. Use algebra to determine whether the given functions are is even, odd or neither a) f(x) = -x³ +…

A: For a given function f(x)  If it satisfies the condition  f(-x) = f(x), then the function is Even.…

Q: May I ask for a handwritten answer/non-AI generated answer for this question since I really need a…

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Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

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Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: Two functions f, g are defined as follows: Find a) ƒ-¹(2) b) (gof)(-4) f(x) = 3x + 5 g(x) = 2(1-x)

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Q: 5. Let F(x)= = x - 3 x+7' (a) On which interval(s) is F(x) > 0? (b) On which interval(s) is F(x) <…

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