Let B = R − {3}. Define g : B → B by g(t) = 3t/(t − 3) Show that the function g is surjective.  Note: R is the set of real numbers.

Q: Give the domain of the function. Зх — 2 - z = O {(x, y): x and y are real and y + 3x - 2} - {(x, y):…

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Q: x + 1 (b) Let f(x) = and g(x) = x²+1. x + 2' ii. Determine if f and g are one to one or onto. iii.…

A: According to question given that f(x)=x+1x+2, g(x)=x2+1

Q: c) Is the function f: -2, 2] → -4, 4 with f(x) = x – 2x bijective? %3D

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Q: 5. (a) Let f: S T be a function, and A CT and BCT be subsets. Show that (A-B) = f-1(A) - f-(B). ww

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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: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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

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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: ?: R2 → R, ?(?1, ?2) = ?1-?2 function is given. a) Can ? be an surjective function? b) Can ? be an…

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A: Statement: Whenever P⇒Q is false then P∧NotQ is true. As it is known that P⇒Q is false only when P…

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Q: Q2. Find the image of the function f: R R, given by f(T) 2| +3 Do not use calculus.

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Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

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Q: ) Consider the following function: f₁ R → R given by f₁(x): Decide whether this function is…

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