1. Let A = {r E R : e # 2} and define f : A R by f(x) = . 5r+1 I-2 (a) Show thatf is one-to-one. (b) Show that if y + 5, then y E rng f. (c) Show that 5 ¢ rng f.

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

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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: A. Find the domain and range of f,g,f +g,and f · g following: of the 2. f(x) = vx +1; g(x) = Vx – 1

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Q: If f-(a, b) = 0 and fy(a, b) = 0, then Vf(a, b) = 0.

A: Given,           fxa,b=0   and   fya,b=0

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A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

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Q: 18&19

A: 18) given that fx=x2, gx=x+6find gf019)given that fx=x2 and gx=12x+3find gf-1

Q: 1. Differentiate the following. Simplify as far as possible. - 3.r)" + (1 – x)² – VF f(x) = V 2+

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Q: 2. Functions f and g are defined as follows: f:R -R f(x) = x2 – 3x –1 Perform these expressions…

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Q: Which of the followings are the inflection points of f(r) = Inz I. x=0 II. x=e III. x=1 IV. ¤ = e 2…

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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 =…

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Q: the tables below: 2) INPUT OUTPUT F(x) -1 648 1 216 72 3 37 4 I noticed that... 2.

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: A. Find the domain and range of А. f, g,f + g, and f • g following: of the 1. f(x) 3 х; g(x) = Vx –…

A: Domain = the set of values of x for which the function is defined. Range = the set of output values…

Q: 13. Given f(x) = x² - 4 and g(x)=√x, which function represents the composite function y = (fº g)(x)?…

A: Given,To find: the composite function

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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: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

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Q: ssuming that f(x) is of the form A - B², write an expression for f(x): x) =

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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: - Let f(x) = 3* a) What is f(x) ? c) Use the table from b) to complete the table for the inverse…

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Q: 1. Prove with the usual notations that: (b) A + V =- (a) EV = VE = A (c) A= SEZ

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

Q: 5) Let g(t) = each of the following: 8 +2v£ be a real-valued function. Evaluate t a) g(4) b) g c)…

A: Given g(t)=8t+2ta) g(4)=84+24           =2+24           =6

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A: I am going to solve the problem by using some simple calculus to get the required result of the…