Suppose f : A → B is a function, X ⊂ A and Y ⊂ B. What does it mean to say: (a) z is in the range of f? (b) The function f is one-to-one? (c) The function f is onto? (d) That z ∈ f^(−1)(Y )? (e) That z ∈ f(X)?

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) =

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Q: Let f(x)=xsinx+V1-x Evaluate f'(-). Select one: а. 2 b. 0 C. d. 3

A: According to product rule of differentiation and according to power rule of differentiation .

Q: Let ƒ be the function given by f(x) = ln (23). What is the domain of f?

A: The answer is given below

Q: Is there a real function f(x) that is differentiable only at a point x?

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Q: a+5 If f(z) = 3z-5 and g(z) = 3 %3D (a) f(g(z)) = (b) g(f(z)) = %3D (c) Thus g(z) is called an…

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Q: 4. A function is defined using the formula f (x)=E 2T. Which of the following is the value of f(5)?…

A: Given function is: f(x)=∑jxj=25

Q: Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8), (2,…

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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: (플, ) (-1) Which point is the inflection point of the function f(x)? A)(-n,0) B) (0,0) C) (T, 0)…

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Q: 1. The graph of function f is shown. a) Draw the graph of f-¹ on the same set of axes as f. b) What…

A: Given the graph of f. The objective is to draw the graph of f-1 and to find the values of f-1(2) and…

Q: Use the figure to determine the interval(s) on which the function isincreasing

A: Given: Figure of the function :

Q: Assame that fis a cme-to-one function. (2) If F(6) – 17, what is f(17)? (b) IfF (3) - 2, what is…

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Q: 12. Let f be the function f(x)={ x² - 3bx+2; x2 For what value of b is f continuous at x = 2 ? (A) 0…

A: To find For what values of b is f is continuous at x=2.

Q: Use the graphs of f and g to evaluate g(f(2)) y 01 00 (-2,1) g (2,4) (2,-2) (4,3) X

A: We have to find out the value of g(f(2)) using the given graph.

Q: 7. Consider function below. What is the value of fl-5); f(0); 3) respectively? (4x+11, -10 Sx<-2 fx)…

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Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

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Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),…

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Q: 2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the…

A: Here are the solutions:  Note:We have provided the best possible solution for you. Kindly, verify…

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

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Q: The domain of the function fod- tanh(17-) is (A, 198), Then The value of k- The value of A=

A: Let us consider the given function f(x)=tanh-1x The domain of the function is  x∈(-1,1) The range of…

Q: Is - 3/2 in the domain of f for x ∈ [-4,1]?

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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: Let f(x, y) = Evaluate f(5,5) 175 - 3x² - 4y2

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Q: Given a one-to-one function f (x) such that f(3) = 6 and f(6) = 1, what is f-'(6)? Do not include…

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Q: (b) Determine the range of f, if f :D → R, where f (x) = x?. I. D = (-2, 2) II. D = [-7, 2] III. D =…

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Q: 5. f(x) = 3(x - 2)² + 1 a) Evaluate f(-1). b) What does f(1) represent on the graph of f? State the…

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Q: (d) Explain why ƒ : 3. Let f: A - B, g : B →C. Do the following. exists, fill in the blanks, and…

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