Given that the function f(x)- x+2x+1 for xeR. a) Show that f has an inverse on R. b) Show that f1 is differentiable everywhere on its domain, C) Find the value of (f(1).

Q: Find f(-1) + f(4), given the function: 14 11 04 13 x² + 1, if x 1

A: Topic = Functions

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

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Q: termine whether the given function is =) = 8 %3D b)even c)neither

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Q: Each function f is defined as f : R - R. Prove why each of the functions is one to one or not one to…

A: See the attachment

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Q: rewrite the function F = (A ⊕ B) ⊕ C without the XOR operator, ⊕.

A: The given function is F = (A ⊕ B) ⊕ C.

Q: 5.) The functiong is related to one of the parent functions g(x) = 2 vx a.) Identify the parent…

A: We can find the answer as given below.

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Q: Each function f is defined as f :R +R. Prove why each of the functions is one to one or not c one.…

A: We will check the one to one of these functions

Q: 19. Evaluate the difference quoatient: f(x+h)-f(x) h as much as possible: a.) f(x) = 2x + 7, b.)…

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Q: Determine the zeros of the function f(x) = -x¹ + x² +1. O a) There are no zeros. O b) x = -1.27 and…

A: GIVEN POLYNOMAIAL EQUATION  f(x)=-x4 +x2 +1

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Q: 1. for f(x)=x2 + 2 AND g (x)= 8 - 7x, evaluate:  a) g(-3a + 1) b) g(-3a + 1) - f(a+4) c) x when…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: -1| 03 f(x) | 15 8 | -1

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Q: 4. Let D R {-2}, let RR {3}, and let f: DR be defined by a. Prove that f is a bijection. 3x-5 f(x)=…

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Q: Let f: A --> B and let B1 and B2 be subsets of B. What is f-1(B1), the inverse image of B1? Prove or…

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Q: Find the inverse of the function f:[0,9] → [1,5] , f(x) ={Vx + 1 if 0<x<8 (2x – 13 if 8 < x<9 %3D |

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Q: Indicate if the function is bijective from R to R, f (x) = −3x + 4, justify your answer

A: Given f : R→R, f(x)=-3x+4 Here the function is linear function. f'(x)=-3&lt;0 for all x∈R Which…

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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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Q: 2. For the given functions, i) f(x)=2+ x ii) f(x)= /x+1, xz-1 3x iii) f(x)=- x +2 Find the following…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.