10. Use the table of values of g and h to evaluate the expressions below, if possible. If it is not possible, explain why. For the first two, part a) and part b), show the intermediate step, not just the answer. x g(x) | h(x) 0-2 -4 -3 - 4 8 -2 (a) h(g(-1)) (b) (g o h)(-4) -1-1 0-2 7 -3 (c) h-'(2) (d) g'(0)

Q: If f'(4) = 8, and g(x) = -2f(x), what is g'(4)? Do not include "g' (4) =" in your answer. For…

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Q: 5. If f(x)= 2x-9 and g(x)=2x+9, find (gof)(-8). On the right side of each step write reason,…

A:

Q: 3. Can you show for g(x) = that х-3 g(c) = -on the closed interval [-3, 2]? If so, find the value of…

A: Given: gx=xx-3, gc=-12;c∈-3,2 for finding value of c, where gc=-12 we put x=c in given function and…

Q: If f(-6) = 6 and f '(x) < 8 for all x, what is the largest possible value of f (3)?

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Q: (3) Find x-value at which the algebraic expression is undefined. c) x + 2 x+3 3 a) (x-2)2 х+1

A:

Q: 10. True or False If the discriminant b? - 4ac = 0, the graph of f(x) = ax + bx + c, a + 0, will…

A:

Q: 19) What is the domain of the function f(r) - +2? 2n=1 n3"

A:

Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

A:

Q: Use the table of values of g and h to evaluate the expressions below, if possible. If it is not…

A: We will use concept of composition of functions and inverse of function.

Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Suppose that the x-intercepts of the graph of y = ((x) are -8 and 9. (a) What are the x-intercepts…

A: The rules for function translation  or transformation: f (x) + k shifts the function k units…

Q: If f′(−6)=7, and g(x)=−3f(x), what is g′(−6)? Do not include "g′(−6)=" in your answer. For example,…

A:

Q: Given (x) = x² – 3 and g(x) =L-2, Find (g ° )(4). 11 13 6. 15 13

A: Given that: fx=x2−2gx=x+2x To find: g∘f4

Q: 2) Determine the domain and range of the following: a) S(x) = 3x + 2 5 y = 3(x +2)? b) 2

A:

Q: 30х3 + 31г? — 25х — 6 - Find the domain of f(x) = 123 59x2 – 11x + 30' -

A: Given :   f(x) = 30x3+31x2-25x-612x3-59x2-11x+30   To find : The domain of f(x).

Q: 4. Find the set of values of x for which (x - 3) <2(x+3) x+13 8. Find the range of values of x for…

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Q: 17. 5. If f(x) = 3x² – 7x + 12, find Simplify! h f()=

A:

Q: If f(x) = x2 - 3 and g(x) = 2x + 1, then what is f o g(-13)? %3D

A: We first plug x=-13 in g(x) Then plug x=-25 in f(x)

Q: f(x) = 0, X # 0, = 1, x = 0.

A: The function is,fx=0x≠01x=0

Q: 83. Suppose that f(x) = x² + 4x – 21. (a) What is the vertex of f? (b) What are the x-intercepts of…

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

Q: 2х-В 7. If f(x) = and f(2) = 7, what is B? Зx+4

A:

Q: iv) If y= ax-6x² + bx – 4 has a point of inflection at (2, -2), what is the value of (Note: This…

A:

Q: 5. To obtain f¹(x) = -x +3+5, the domain of f(x) must be: A. x≤5 B. X25 C. x≤-3 D. x≥-3

A: Given: f-1x=-x+3+5.

Q: Let h(x)=f(x)+g(x). If f(x)=2x2 and g(x)=8x5, what is h′(x)? Do not include "h′(x)=" in your answer.…

A: We have been given h(x) = f(x)+g(x) and f(x) = 2x^2 and g(x) = 8x^5So we can first write a function…

Q: the value of of g(6)

A:

Q: If f' (4) = –4, and g(x) = 5f(x), what is g' (4)? Do not include "g'(4) =" in your answer. For…

A:

Q: 4. What is the greatest value in the range of f(x) = x - 3 for the domain {-3, 0, 1, 2}? F-3 H 2 D 6

A: Topic = Functions Correct option = I

Q: What is g (x) - h (x) if h (x) = -3x and g (x) = 2x"? Put your answer in standard form.

A: Given: g(x)=2x2h(x)=-3x The objective is to find the value of g(x)-h(x)

Q: domain of f(x) = 2 x + 1 is { -2≤ x ≤3}, which integer is NOT in the range? a. 5 b. None c. -2 d.…

A: We will solve the problem

Q: If g (2) = 12 and g'(x) 2 for 2 <xS 6, what is the smallest value g(6) can be? Why?

A: To find the smallest value of g(6)

Q: 8. A software developer notices that the number f(r) of downloads of an app (in thousands) is…

A: Given that: Number of downloads:         f(x)=2.6-0.4x

Q: 2. If f (x - 2) = 2x + 5, what is the value of each of the following?

A:

Q: Suppose that 3 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given problem:- Suppose that 3 ≤ f'(x)  ≤5 for all values of x. What are the minimum and maximum…

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

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Q: If f(8)=4, f'(8)--6, g(8)--4, and g'(8)-1 and h(x)-5f(x)-3g(x)

A:

Q: 2. What is the domain of the function x)- dx+6 in set notation? a. xS-6 b. x2-6 C. x20 d. xS0

A: Domain of the given function is given by

Q: If f' (2) = 3, and g(x) = 9f(x), what is g' (2)? %3D Do not include "g' (2) =" in your answer. For…

A: Given that g(x)=9f(x) Applying differentiation with respect to x on both sides Then g'(x)=9f'(x)

Q: If g(x) = √100 - x^2 , where - 10 ≤ x ≤ 0, find A) g^-1 (x) B) the domain and range of g^-1

A: g(x)=100-x2y=100-x2x=100-y2x2=100-y2y2=100-x2y=-100-x2 [here 0≤x≤10]g-1(x)=-100-x2 , 0≤x≤10

Q: Let h(x) = f(x) – g(x). If f(x) = 9x² and g(x) = 8x, what is h' (–5)? Do not include "h' (-5) =" in…

A: Given that: hx=fx-gx The values of function are, fx=9x2gx=8x Substitute above value in given…

Q: 2 C) The domain of f(x) is R/{3} , Find the value of k ? x²-6x+k

A:

Q: Suppose that the x-intercepts of the graph of y= f(x) are -2 and 5. (a) What are the x-intercepts of…

A: Let's find.

Q: want to check my answers on a and b.  as for c and di, how would i find the solution? Letf(x)=3–x…

A:

Q: If f′(−3)=−10, and g(x)=−8f(x), what is g′(−3)?Do not include "g′(−3)=" in your answer. For example,…

A: To evaluate derivatives of constasnt times the given function

Q: Let h(x)=f(x)−g(x). If f(x)=9x2 and g(x)=8x, what is h′(−5)?Do not include "h′(−5)=" in your answer.…

A: We have been given two functions f(x) = 9x^2 and g(x) = 8x and a relationship between functions h(x)…

Q: If f(x) = g(x) ·x2, g(4) = 8, and g' (4) = 2, then f'(4) =? %3D

A: Differentiation: - Differentiation is defined as the derivative of a function with respect to an…

Q: Given that 6g(x) + xsin(g(x)) = 10x2 - 9x - 9 and g((3)/(2)) - 0, g' ((3)/(2)). g'((3(/(2)) =

A: Given that, 6g(x) + x sin(g(x)) = 10x2 - 9x - 9 Differentiating above with respect to x we get, 6 .…

Q: 2) Objective: Use contnuty and the intermedale value theorem to solve probiems If f(x) =x - 5x +7,…

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Q: 17. Given f(x) = k(2 + x), find the value of k if f(-2) = -3. %3D

A:

Q: If f' (2) = 6, and g(x) = 4f(x), what is g'(2)? Do not include "g'(2) =" in your answer. For…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.