Exercise 2.12. Determine whether or not the given functions f:Z Z are one-to-one or onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain why not. (A) f(r) = 2x + 3 (B) f(x) = |x| – 2 (C) f(z) = %3D (D) f(z) = r³ +1

Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

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Q: 2) a. Show that the function f(x) = A x x – B is injection function. b. Find the inverse of the…

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Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

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Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: I. Detemine what type of function are the following: 1. f(x) = 3x* + 1 2. f(x) = |10x + 7| r+4x+4…

A: Follow 2nd step.

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

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Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

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Q: Let f:R → R be the function with rule f(æ) = 2x – 1, and let g: R → R be the function with rule g(y)…

A: To find  (g0f) (10) and (f0g) (7)

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Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

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Q: The following function may be viewed as a composite function h(x) = f(g(x)). Find f(x) and g(x).…

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Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

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Q: In each of the following, determine whether

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