Suppose that the function /i is defined, for all real numbers, as follows. 2 ifx+-2 h (x) = -2 if x--2 Find h (-5), h (-2), and h (0). A(-s) = 0 %3D A(-2) - O h (0) - O

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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Q: Find the absolute extreme values of the function on the given interval. f(x) = x4 + 8x3 + 14  on…

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Q: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

Q: Suppose that the function h is defined, for all real numbers, as follows. -2 ifx -2 h (x) = - %3D -2…

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Q: The function f (x) = x3-3x has: %3D Concave up for all x O Concave up for x0 Concave down for all x…

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Q: Find the domain of the function. h) - 5) X - A) {x|x 0}, or (0, -) B) {x|x 1), or (-, 1) u (1, ) D)…

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Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x<=0 and F(x)= x^2+2x+k if x>0 if…

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Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: If g(x) = 2x + 10 and h(x) = 3x - 2,                        3 Find: - g[h(x)] = and express in its…

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Q: If f(x)= 2x-and g(x)=3x+1, what is f(x)-g(x)+g(x)²? O8x6+9x2+3x O8x+9x-x O8x+9x2-3x O8x+9x+x

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Q: If ƒ and g are real-valued functions, how are the domains of ƒ + g, ƒ - g, ƒg, and ƒ>g related to…

A: Take f:D1→ℝ and g:D2→ℝ. Then, the operation f+g is only possible when the domain is D1∩D2. That is…

Q: f(x)=x2g(x). If g(2)=3 and g'(2)=-2, find f'(2)

A: Given that,…

Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x? + 3x – 3x x² - 2x + 6 -x? + 2x + 4 x? - 2x –…

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Q: Suppose z is implicitly defined as a function of x, y, by means of the equation: z4+8zx=3x2+12y2…

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Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

A: The given function is: f(x)=x3-6x2+9x+1

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: onsider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 (D) h(−1) (E) h(0)…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Determine the critical numbers, if any, of the function f. f(x) = 3x* + 6x³ – 24x? – 72x + 22

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Q: The range of the function f (x) = 2+ V9 – x² is [2, 5] O [0,3] О -3, 3] O [-1,2] O [-3,0]

A: Explanation of the answer is as follows

Q: Let k(x)=f(x)g(x)h(x). If f(x)=−3x+4,g(x)=−x+4, and h(x)=−3x2−4x+3, what is k′(x)?

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x&gt;2h-1=?h4=?

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?

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Q: Let h(x)=f(x)g(x). If f(x)=−2x2+2x+3 and g(x)=−x2−3x−4, what is h′(−1)?

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Q: If f(x)= 2x2 and g(x)=3x+1, what is f(x)-g(x)? O2x+3x+1 O2x2-3x-1 O2x2-3x+1 O2x+3x-1

A: Given, fx=2x2 and gx=3x+1.

Q: If f(x) = x +2 and x = -3, then slop function is

A: Given f(x)= x+(9/x) and x=-3. We need to find the slope function.

Q: 14. If f(x)= x+4 and h(x)= 4x-1, find function g(x) such that gof =h. %3D

A: Given that , fx=x+4 and nx=4x-1We have to find gx such that got=h

Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: ) Given the function f(x) = {6 − x        if − 1 ≤ x ≤ 2…

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Q: Show that the function f(x)=x3−3x2+6x−1 is strictly increasing on R.

A: Let us find f'(x) using the power rule

Q: Suppose f(1)=2 , f'(-1)=7 , g(1)=2 , g'(1)=3 Find h'(1) for h(x) = f(-x^3)

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Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: Evaluate the function for the given values of x. - 3x +7 for x<-1 g (x) = 2+2 for -1sx<5 for x25…

A: The function of g(x) is defined in the given interval. You need to carefully look where the value of…

Q: If f(x) = |x| + |x – 1| and g(x) is the piecewise function defined by: 2r-1 x> 1 0<x<1 1- 2r x<0…

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Q: If f (0) = -3 and f '(x) < 5 for all x, how large can f (2) possibly be?

A: Given f0=-3f'x≤5      for all x To find maximum value of f2

Q: is then the function (2) (x (2x-5) If f(x) = (х-1) and g(x) (x-1) (2x+5) (2x+5) b) () (x) = (2x-5)…

A: The function fg is defined by fg(x)=f(x)g(x)

Q: Suppose that the function g is defined, for all real numbers, as follows- 4 if x<-2 g (x) = {…

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Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: A- Find the averag value of the function f(x)=x+ B- Find the aree √x²+2x on(2,4).

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Q: For what values of the constant c is the function f continuous everywhere? f(x)={ cx^2-4x if x<-2…

A: The given data is: fx=cx2-4x, if x&lt;-25x3-c2x, if x≥-2 To find the value of c if the given…

Q: For what value (s) of x is the function f(x)  -4 if  x ≤ -5…

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Q: Let h(x)=f(x)g(x). If f(x)=x^2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)?

A: We have to find function

Q: Let h(x)=f(x)g(x) where f(x)=2x^2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: If the function defined by 6x + 144 x # -24 g(x) = x + 24 k is continuous at x = -24 x = -24, then…

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Q: Find a value of the constant k, if possible, that will make the function continous everywhere if…

A: The objective is to find the value of k that will make the function continuous everywhere.

Q: Show that the following functions has a solution on the indicated intervals f(x)=x³ + 2x = x² + 1…

A: solution:- f(x)=x³+ 2x =x² + 1,      x∈ (0,1)f(x)=x³+ 2x -x² - 1=0Intermediate value theoremf(x) is…

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

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