For a real number k, the function 3 π ƒ(x)= cos² (x − ³/n)-cos (x −7) + k 4. 4 has maximum of 3 and minimum of m. What is k+m?

Q: consider these 2 functions. if x co if x20 Letx 1-1-49x² g(x) = _ _ x ² + 16 4760 +2 domain of g(x)?…

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Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

A: The given function, fx=x2-7x-5

Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: The objective of this question is to evaluate the value of a piecewise function at a given point. A…

Q: Suppose that the functions q and r are defined as follows. q (x) = x² +6 r(x) = √x+9 Find the…

A: Use composition of functions to find the unknown value.

Q: Find g o f if f(x)= 1/x+3  and  g(x)= -2/x and state the domain: I set this problem up as follows:…

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Q: Use the functions given by f(x) = x + 4 O-43√x +4 O-43√x-4 ○ 43√x-4 43√x + 4 1 64 -x 4 and g(x) = x³…

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Q: 1. Determine the value of k that would make f(x) only have one root: f(x) = 2x² + 4x − 1 + k

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Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: Determine the value and location of any inflection point of h. Enter the solution in (x, h(x=…

A: Given function is Now differentiating it twice we get  Noted that there is no x for which  , In…

Q: Given the function g(n) = −6(n − 2)7(n+ 3)² (n − 4), its roots are and their multipicities are

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Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: To find the value of f(7), we need to determine which part of the piecewise function to use. Since…

Q: X+2 If f(x)= for which of the following X-1 values of xis ((x) undefined? A) -2 B) -1 1 C) D) 1

A: The given function is  f(x) = (x + 2)/(x - 1)

Q: 4. Solve x(x + 6)(x – 8)²(x – 1) > 0 by sketching. Express your answer using interval notation.

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Q: Sketch the graph of f (x) = x3 − 3x2 + 2. Include the zeros of f , which are x = 1 and 1 ±√3…

A: The graph of the function f(x)=x3-3x2+2 is shown below with the zeroes marked with black dots.

Q: 21. Given the functions f(x) each: a.) (fog)(x), = 1 x + 5 and g(x) √2-x, find the following b.)…

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Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: 14)- Consider the following formula f"(x.) = 4-4o+3f-1 _ 2hfm(c) 6h2 3 Find the optimal h.

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Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

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Q: Given f(x) = 1+ 6x – x and g(x) = 4x+ 1. Part A: Find (f +g)(3). O-3 O-21 O 41 O 23

A: Given function are f(x)= 1+6x-x2 and g(x)= 4x+1   Find (f+g)(3) .

Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and…

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is…

Q: 1) Use f(x) = -2 In(x + 1) to do the following: d. Find f-1 e. Find the domain and range of f-1 f.…

A: Given that: f(x) = -2ln (x+1)  To find: a) inverse of f(x)  b) Domain and range of inverse of f(x)…

Q: Evaluate f (x4 – 7x3 + 8x? + 3) from a=1 to b=2.

A: Consider the provided integral, ∫x4-7x3+8x2+3dxx2  from a=1 to b=2 Solve the provided integral.…

Q: (x2 – 4x lx + 2 if x > 2 2. Let f(x) = f(x) = find f (5). %3D %3D if x < 2

A: This question is related to functions, We will solve it using given information.

Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

Q: the interval in which the root exists for the function f(x) = x² – 16=0 - is Оа. [3,5] O b. [0,2] O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given that f(x) = find f(-1)./(0)./(1), f(1000), /(–1000) and fIS(x)| Is -3/2 in the domain of f for…

A: Given function is fx=5x+33x+5. To find: f-1, f0, f1, f1000 and ffx. Solution: Put x=-1 in fx.…

Q: 4. Find formulas for the compositions fog and go f if f(x) = 5x² +3 and g(x) = √4x - 2. ovitettura…

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Q: On which interval ƒ(x) = − 3x is increasing? 4 O a. (-∞, -2)and(−2, 2) O b. (-2,2) c. (-∞, -2)and(2,…

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Q: Which of the following functions is not even? f(x)=√x² - 1 1 f(x) = ₁ 1 + x² f(x) = cosecx f(x) =…

A: Functions :

Q: 8) The arerage f(x) is of the function 5x4 √√5 +1 what 2 on the interval [-1,1]

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