6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3], and B = [0,4). 1. Find g(A) 2. Find g-¹(B) 3. Does g have an inverse? If so, what is it?

Q: 8) Find the inverse of the following function. f (x) = {(-3,6), (-2,5), (4, 2), (–4, 1), (5, – 5)}

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Q: 11. (a) State the largest possible domain of the following functions: opk fix → x-3 x+2 h:xx²+3…

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A: According to question,  Given functions, f(x) = x2+3, g(x) = x-3 Function fx defined on interval :…

Q: a) Let f: R-R be a function defined as f(x) = (x+2)?. Determine whether the function is one to one.…

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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…

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: Let f (x) = Vx and g(x) = - Find the formulas for all four compositions x2 f(f(x)), g(g(x),…

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Q: 2. Which shows that f(x) = 5x² -2 and f-¹(x)=√√2 are inverse functions? O522 -2= *52…

A: If f(x) and f -1(x) are inverse functions then  (f∘f -1)(x)=(f -1∘f)(x)

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

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Q: 1. Given the functions, f(x) = and, g(x) a. Find fAg(4)). VT. = Vx. b. Find (g(x)). %3D %3D x+5 c.…

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Q: Consider the following function: 3x 10z - 17 1 - 10x -1 f(x) = 17 10 2 13 1 a) What is the highest…

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Q: 1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x.…

A: a. As (f-g)(-1) = f(-1) - g(-1) So (f-g)(-1) = [(-1)2 - 3(-1) + 1] - 8 - (-1)                = 1 + 3…

Q: A. Odd B. Neither 16. Let f(x) = 2x - 1 and g(x) = x² + 3. Calculate the value of (f-g)(4). [✔✔✔]

A: The objective of the question is to find the value of the expression (f-g)(4) given the functions…

Q: 3 Let ƒ(x) = (x−7 −7)³ – 9. Determine the inverse function f-¹(x). Ensure that you use brackets…

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Q: Find the inverse of the function on the given domain. f (x) = (x – 11)2, [11, )

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Q: 6. Function is given below. Find the inverse of the function. A. (x)=√x-4+4 B. S'(x)=(√x+4-4) C.…

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Q: .Let f, g andh are three functions defined as below : f: R>Rf(x) = 4x² – 4, - g. R→R8 (x) = V-5x+…

A: Given  f(x) = 4x2-4g(x) = -5x+1h(x) = 2x-5   a) fog(x) = f(g(x)) = f(-5x+1) = 4-5x+12-4 =…

Q: 6.) Find f/g and its domain. т — 2 3 f(x) g(x)

A: To Find f/g and its domain. f(x) = 3x,  g(x) = x-2x

Q: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

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Q: 1. Find the inverse of the following functions and its domain and range. (9) x + 7 a)f(x) = - 8 - 5x…

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Q: O D. 2x + 2x+4 Find f(-x) when f(x) = 2x-2x+4. OA. O A. 2 +2x-4 O B. -2x +2x +4 OC. -2x + 2x-4 O O O

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Q: 3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by…

A: This question is related to Functions,  we will solve it using given information.

Q: Find the autocorrelation function for the following functions. -1 2 -1

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Q: The function, f(x), is a 1-1 function with Dr: (-0,5] and Rf: (-4,6] U [7, 0). State the domain and…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective?…

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Q: 3b.

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Q: Which of the following gives the formula for the inverse of the function x + 3 f : R \ {-7/2} → R \…

A: I am attaching image so that you understand each and every step.

Q: 2) a. Find the inverse of the function, b. Show that the function f: R> R defined as f (x) = 13x –…

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