X-2 +2 What is the domain of the function f(x) = x² - 9 A (2,3) U (3,0) B none of the given choices [2,3) U (3,00) All real numbers F (- 00,3) U(3.00)

Q: 8. Find the absolute max and min values of the function f(x) = (22 - 8)2 on the interval [-3,0].

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Q: # f(x) = (2 )2 what is f'(-2)7 If f(x) = 2-2х 2 2x+2 %3D

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Q: x-8 Let f(x) = 3x +8, g(x) = x²+ 7, h(x)= - 3 Find (g ohof)(8).

A: The given function,fx=3x+8, gx=x2+7, hx=x-83

Q: 5 - x 4 – x2 Determine where f (x) = is continuou - O (-0, -2) U (-2, 2) U (2, 5] O (-00, 5] O (-00,…

A: Given function is, f(x)=5-x34-x2

Q: 2. f(x) = {(1,2), (3,2), (4, -2), (6, 2)}, g(x) = {(-3,3), (-2,4), (-1,1), (0,4)}

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Q: Determine weather the statement is true or false f(x)=3and g(x)=11-2x intersect at x=3

A: Given: fx=3  and  gx=11-2x

Q: Find the intervals of decrease for the function 5 – x f(x) x + 2 (-00,00) O(-2,00) )(-00,-2) Oø (The…

A: Explanation of the solution is given below...

Q: A right triangle has one vertex on the graph of y=x4, x>0, at (x, y), another at the origin, and the…

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Q: Determine values of constant real numbers a , and b so that the function : f(x) = Į ax2 + 7x - 72…

A: Topic = Function Blank #1     -3 Blank #2     37

Q: 3 - Calculus to find the absolute and local extreme values of f(r) =x+2/3 on the interval [-8, 8].

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Q: Find the x- and y-intercepts for the function. f(x) =  x + 1 x2 + 9 x-intercept      (x, y) =…

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Q: x³-2 is x*+81 The domain of the function f(x)%3D Select one: (-0,-3)U(-3,3)U (3, 0) (-00,-3)U(-3,0)…

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Q: 5. f() = {x? - 4 U x* -3 Evaluate f(4), f(0), f(-3) and f(-2/3) }" -2 if x = -3'

A: The objective is to evaluate f(4), f(0), f(-3) and f(-2/3).

Q: FUNCTION INTERVAL a) f(x) = x* – 3x³ + 2x² – x + 6 [-4, 3] b) f(x) = x2+9 [0, 2] 2x-3 c) f(x) = [-6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The function f(x) = x2 - 2x – 5 has domain {-1, 0, , 2x }. Find the range of f (x)

A: To find the range of the given function.

Q: f(-7) = 7 f(0) = -4 f(x) =

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Q: f(x)= -2x -1 g(x)= -1/2 (x-2)^3 -5 Determine where g(x)>f(x)

A: Given fx=−2x−1 and gx=−12x−23−5 We have to determine where gx≥fx Now, solve gx≥fx…

Q: Vx-2 +2 x² –9 What is the domain of the function f(x) = A none of the given choices All real numbers…

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Q: r+3 x2 +5.x-24 The domain of the function f(x)3D is all real numbers except- O A -8, -3, 3 ов -8, 3…

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Q: 2. The functions f and g are real valued x- functions. Given that g(x) = and x+2 7 g•f(x) = then…

A: use, gof(x)=g(f(x))

Q: x² – 4. the domain of f (x) = -is: 1s: x +3 0(-3,-2] (-2,2) (-3, -2|U12, 00) 12.3) U (3.0)

A: See the attachment

Q: The functions f and g are both defined on the domain of all real numbers with f(x) = x^3 and g(x) =…

A: The functions f and g are both defined on the domain of all real numbers with f(x)=x3andg(x)=5x+2.

Q: Describe the x-values at which the function is differentiable. x² x²-9 y= y The function is…

A: The function given is y=x2x2-9. The objective is to evaluate the points where the function is…

Q: 94 8- g(x) 7- h(x) 6- 5 4+ 21 x-values x-values g(x) h(a) If f(x) then f'(2) = 2. 3. values 3. 2)…

A: according to given figure gx=-x+9hx=x+52,x<52-x+152,x≥52 so, at x=2 given functionfx will be…

Q: f(x) Let h(x) = g(x) where f(x) = 2x² – 4x, g(-2) = 4, and g'(-2) = –5 what is h' (–2)? Do not…

A: Given, h(x) = f(x)g(x) where f(x) = 2x2 - 4xg(-2) = 4andg'(-2) = -5 then h'(-2) = ?

Q: Find the value f(-x) for the function f(x)=2/x.

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Q: Function Line 63. f(x) — х? — kx у 3 4х — 9 - 64. f(x) = k – x² у %3 — 4х + 7 - k 65. f(x) 3 -x + 3…

A: We will solve the following.

Q: FUNCTION INTERVAL a) f(x) = x* – 3x³ + 2x² – x + 6 [-4,3] b) f(x) = x2+9 [0, 2] 2x-3 c) f(x) = [-6,…

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Q: 2 - 16 x2 - 4x + 3 Let f(x) = and g(x) 12 + 3x - 4 x2 - 3x - 4 (f 9)(x) = The values of x that are…

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Q: 12-3z+2 If f (x) = and g (x) = a? - x - 2, what is f (x) ÷ g(x)? %3D I+1 O (z - 2) (z + 1) O r-1 I-1…

A: If two functions f(x) and g(x) are given, then the division of two functions is obtained by…

Q: F(x)=x+7 & g(x)=2x-3 what is (f-g)(x)

A: Givenf(x)=x+7 & g(x)=2x-3

Q: x² – 1 is: x - 2 the domain of f (x) = 1\ - (-0, -1]0 (-1,2) U (2, 00) O (-1,1] U (2, 0) O (2, 00)0

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Q: The functiong (x) = |x² – 16| + 5is differentiable everywhere except where x = Type the value of x.…

A: Consider the function g(x)=|x2-16|+5. This can be written as g(x)=x2-16+5, if x≤-4-x2-16+5, if…

Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: Find the minimum or maximum value of the function g(x) = -3x- 6x +5. Describe the domain and range…

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Q: Determine the point(s) of intersection of the functions  f(x)=4x2-x+5 and g(x)=+41x-91…

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Q: 4. y = √√x² + 4 7. y = √9-√x Find the domains and ranges of the following functions. 2x 2x…

A: we can find the domain and range of the function . Note : As per our Guidelines , we can solve first…

Q: 3. For the domain -2,-1,0,1,2,3 with f(x) = x + 2 and g(x) = 2x - 1 Determine the range of (gof)(x).…

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Q: x2 - 4 (a) Show that, for x+ - 2, =x-2. X+2 (b) Are the functions f(x) and g(x) equal? x2 -4 f(x) =…

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Q: r-1 1 if x+- g(). if r= x 1 Find g(-5), g(-), and g(3).

A: Whenever x≠-1; g(x)=12x-1 g(-5)=12(-5)-1=-5-22=-72 g(3)=12(3)-1=3-22=12

Q: Q-1 Use the functions f(x) = 3x - 2 and g(x) = x2 + 3 to find: %3D %3D a) f(g(-1)) b) g(f( 1)) Q-2…

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Q: II. EVALUATION OF FUNCTIONS 『ょく -1 if -12 A. p(7) В. р(-4) C. p(-)

A: Given: To evaluate the function p(x)=2x+3if x<-1x3-4if -1≤x≤2-x2+2,ifx>2 A. p(7) B. p(-4) C.…

Q: 3-x • The domain of f(x) = is %3D x² -1 1. R/{1} 2. R/{1,-1} 3. R/{-1} 4. (0, c0)

A: Answer

Q: 11-14 - Functions in Words Express the function (or rule) in words. x + 2 -11. f(x) = 2x + 3 12.…

A: Given The functions are   11. fx=2x+312. gx=x+2313. h(x)=5x+114.  k(x)=x2-43

Q: x-1 Example 3:Find the domain and range of y=, x+2

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Q: Find the domain of the function. 9 – x² – y? Z = - X The domain is the set of all points inside and…

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Q: x + 4 Find the domain of the function f(x) %3D x2 -2x 3 O Set of Real numbers x, x 3, x -1. O Set of…

A: topic - domain of a function