What is the domain of if x<1 if 2 < x<4 ? if 4 0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D. (-00, -4) Let g(x) = Vx? – 1 and h(x) = Vx - 1 are functions, what is (g o h)(x)? A. VI B. Vx – 2 C. V2 – x D. V4 - x 2-3x The inverse function of f(x): is equal to !! x+1 2-x x-2 A. f-1 = C. f-1 x+3 x+3 2-x 2+x B. f-1 D. f-1 x+3 x-3 2x-3 What is the value of x in the equation 3 C. 9 D. -3 A. -9 В. З x-1 D. Given the inequality < 0, what are the solution set? 2x+3 A. G,-1) B. (--1) c.(-1) D. (.1) 1. If f(x) = 4- 3x and g(x) = 7x + 2, then what is (f +g)(x)? A. 10x + 6 С. 10х - 6 В. 4х + 6 D. -4x – 6 2. Let f(x) = -2x? + 3x – 1. Find f(2). С. -3 А. -4 В.-2 D. -1 3. Given: f(x) = x - 2 andg(x) = 2x + 3.Find (f - g)(x). C. x + 5 D. 3x +1 A. -x – 5 B. x - 5

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = } (-x? + 10x - b, x24 satisfies…

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Q: 8х + 7 State the domain of the function f(x) = in interval notation. 9х + 2

A: A detailed solution is given below

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

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Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

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A: To find the critical points we solve dy/dx=0

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A: We can find the answer as below.

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A: We need to find the interval for a function f(x)=x3-4x-9=0

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A: Given that: f(x)=2(x2-9)x2-4

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A: The given function is: g(x)=3x+4

Q: The range of f(x) 3 (2х — 1)(1 — 3х) + 4x2 is О 44/9, со) О -со, 35/9] О 23/5, со) О 17/3, со) О -о,…

A: Given  fx=2x-11-3x+4x2 Here we have to find the range

Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 12 +…

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Q: -6 -5 -4 -3 256 224 192 160 128 96 64 32 -32 -64+ -96- -128 -160- -192 -224 -256- -288 -320- -352…

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Q: Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥ 2 on the open…

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Q: the Domain (Dr) and Range (Rr) of the following function 4 f(x)=; V25-x4 O Df=[-5,5], Rf=[-2/5,…

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

Q: The range of f(x)= 3+|x| is O (0,3] O (3,0) • 13, x) O (-x,3) 1Tx,3] (-x,3]

A: Explanation of the answer is as follows

Q: (c) For what values of a and b does the function (ах— 3, x 4 satisfies the conditions of the…

A: Function  To find the values of a and b for which f(x) satisfies the conditions of the Mean-Value…

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A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

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A: The given function is f(x) = 5 + 7xTo find the value of x for which |f(x)| = 5.

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Q: Check the continuity of the function f(x) at x = -2 f(x) = - 6r + 3x l-6x if xs-2 if x>-2

A: Given,         The function fx at x=-2.           fx=x2+3xif x≤-2x3-6xif x&gt;-2

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A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x4 -…

A: Increasing and decreasing functions: f(x)=x4-4x3+4x2 Increasing function Let y=f(x) be a…

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

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Q: Use the function and graph to answer the questions about existence, limits, and continuity. -x-3, -…

A: topic - limits and continuity

Q: What are the discontinuity and zero of the function f(x) = x^2+8x+7/x+1    Discontinuity at (1,…

A: Given,        fx=x2+8x+7x+1        fx=x+7x+1x+1      Discontinuity at x=1  at f1=x+7=8…

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Q: If f : [0, 3] → R is continuous, must its range be a closed interval?  use the continuous map

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Q: Evaluate f''(c) at the point. f(x) = (x2 - 5)(x3- 5), c = 1

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Q: 8х + 7 State the domain of the function f(x) in interval notation. 9ж + 2

A: Given,f(x)=8x+79x+2

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A: Given function is : fx=x+22  , x&lt;312-kx3 , x≥3 To find the value of k.

Q: ,3]---->R F(X)=2X-3 من المعلومات .A (7,5-, 3-, 1-, 1,3) .B (-7, -5,3-, 1-,1,3-) .c (-7,-5,-3,-1, 1,…

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