3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

Q: 1. To show that +2-4= 0is an implicit solution to do Lon the 2y interval (-oo, 4), i. First convert…

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Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: 2. If f(g(x)) = sin x + 3sinx - 1, determine possible expressions for f(x) and g(x), where g(x) # x.

A: (1st method/way): Let f(x)=x²+3x-1 and g(x)=sinx Then we can find f(g(x)) as follows…

Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8)…

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Q: Prove that 1 3V2 dx < 3 + x (Hint: Theorem 5.9(ii) and carefully chosen functions should do the…

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Q: What is the upper bound of the function? f (x) = 4xª 25x² – 5x = 13 = 4r4 5х -13 --- Enter your…

A: Given : f(x) = 4x⁴ - 25x² - 5x - 13

Q: 1. Determine if the function is even or odd g(x) = f(t) = sin 21 x2-9

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

Q: (1 point) Suppose f" (x) = –16 sin(4æ) and f' (0) = –4, and f(0) = -1. -1. f(T/2) :

A: Given,f''x = -16sin4xIntegrating on both side with respect to x, we get;f'x = - 64cos4x +…

Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

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Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

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Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: 5. If f(x) = 2x² - 3 and g(x) = 2 sinx, determine (f • g)(x) and (ƒ • 9) (³7), 0≤x≤ 2π.

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Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the…

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Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

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Q: Prove that f(x) = x 2 takes on the value 0.5 in the interval [0, 1].

A: We have to prove that f(x)=x2 takes on the value 0.5 in the interval [0, 1].

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: Find the absolute extreme values of the function on the interval. 1) f(x) = tan x, - 7sxs6 4

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Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: 1 Sketch a graph of the function f(x) = 3 sin 5- 4- -87T -7 -6I -5 -47T -37 -27 27T 37T 47T -2- -3…

A: the amplitude of the function is 3 the time period of the function is  2π1/4=8π

Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

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Q: 7 Find f(x) given that f (1) = =-- –- and f'(x)= 2x² 4. X. 23 114

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Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

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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.

Q: 3 Find the exact values of the circular functions whose 0 4

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Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: The absolute max for the function f(x)=x2 – 2x+1 on the interval [-2, 3] occurs at : Select one: а.…

A: Given function is  f(x)=x^2-2x+1

Q: Given the functions Ax) = 3* and g(x) - cos X determine the range of the function h(x) - {x) – g(x)

A: The given problem is to find the range of function h(x) = f(x) - g(x) Given f(x) = 3x and g(x)=…

Q: Find the extreme values of the function f on the interval [3,4]. (x^4)+(4/x)

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Q: - The equation f(x) = Inx-x +3 has a root in the interval (4,5). Obtain the roo correct to three…

A: Given function is, fx=ln x-x+3 in the interval (4,5) First iteration: Here f4=0.3863&gt;0 and…

Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: what is the value of x in second iteration of the function f(x) = sinx - X +5, in the interval of…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: Consider the function f(x) = 2/x + 2 on the interval [4, 8]. Find th function on this interval.

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Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: 2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v²…

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Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

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

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: C. Show that f(x) = (x26)² has no inverse on the interval (-∞,0).

A: Since you posted two questions here, i can answer only 1. Please reupload second question again.…

Q: Prove without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: Show that there exists an x in the interval (0, 1) that satisfies the given equation V = 1-x Hint:…

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Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53