Suppose that f: X→Y and g: Y→Z are functions. Please teach me how to write the convers and inverse of the following statement. And what is a counter example of the converse? If both f and g are one-to-one, then g(f(x)): X→Z is one to one.

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: Find the domain and nange of the inverse of f(x) V+3

A: We have to find

Q: Which of the following represents y as a function of x?

A: The following represents y as a function of x is

Q: Formally, if functions f and g are inverses, what conditions must be true?

A: Given that f and g are inverses.

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

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

Q: Show that the following functions are inverses of each other: 2х - 1 3x +1 k(x) = and h(x) = x+3 2-x

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Q: Given the function fAx) = -x - 4, which of the following is a restriction on its inverse function,…

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Q: Since the inverse is unique, it can be either g(f(x)) = for each x in the domain of f. V1+36x² 2x or…

A: Given that  and  are inverse functions.The aim is to find the given definition.

Q: B. Compose the function f and g and determine, from your answer, if the functions f and g are…

A: This question is based on Sets and Relation.

Q: For a function f and its inverse f, ff(x))

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Q: Find the inverse of each function. 5) sl) --2x + 3 6) lx)-12 - 7x 4 7) h(n) – V-n – 2 8) g(x) – -1 +…

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Q: 1. Find the inverse of the following function: f(x) = x² + 2x-4. Restrict the domain of f(x) such…

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Q: find the inverse of the function f(x) = 2x +3/x-4

A: Given query is to find the inverse of f(x).

Q: 6. Let g: X→→ Y and f: Y→ Z be functions. If go f is one-to-one, then f is one-to-one.

A: The given problem is to show for the given functions g and f , if gof is one to one then f is one to…

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: Verify that the functions are inverses by showing that f. g and go fare the identity function. f(x)…

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Q: 44) Use the functions defined below to answer the following questions. f(x) g(x) 5 1 8 2 -2 3 8 -7 X…

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Q: Which of the following is 1 the inverse of f(x): =–x+ 8? f-"(x)= 2x +16 f(x)= 2x – 4 O Option 1 O…

A: Given f(x) = 12x + 8

Q: 1. Find the Inverse of the function f(X) = X + 19

A: Given : f(x) = x + 19, we want to find the function f-1 that takes the value y as an input and spits…

Q: Suppose that g and h are inverse functions, and that g(–50) = 25, evaluate h(25)

A: It is given that g and h are inverse functions and- g-50=25

Q: C. Use the composition of function to verify if the given pairs are inverses of each other. 1. S(x)…

A: Note: According to our guidelines we can solve only first three subparts and rest can e…

Q: Consider the functions y = (x - 2)² +3. 13. a. Find the inverse of the function. b. Find f-¹(-4). If…

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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: A. Show the following function pairs are inverses: 1. f(x) = x2 and g(x) = V x, 2. f(x) = and g(x) =…

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