Use the graphs to evaluate the expressions below. 6+ | f(x) g(x) 4- 4 3 2 3 5 6 -1 -1 -1 4 2 3 4 f(9(4)) = g(f(1)) = f(f(3)) = g(g(2)) =

Q: Using the intermediate value theorem, show that the function f had a zero between a and b…

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Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

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Q: ALUATE THE FUNCTION, if g(x² - 3); evaluate g(x) = 3-x/3+x

A: We have g(x)=3-x3+x to evaluate gx2-3

Q: Write the domain and range of the function using interval notation. domain range y X 2. 4 6. 8. 10…

A: Domain & Range of the function from the given graph

Q: (14.) Let f(x)=2x + 8x. If g(x)= f(x) and g(10)= 1, what is the value of g'(10)?

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Q: 5 -6pi 6p -5

A: From the graph, it is clear that the graph is a sine graph because, at x = 0, the sine value is…

Q: Express the relationship f (x) is Ω(g(x)) using a picture. Show the graphs of the functions f (x)…

A: Note:

Q: Write the function in the form y=a(x-h)^2+k f(x) = x^2+14x+3 f(x) =x^2 +x-3

A: Consider the function  1)f(x)=x2+14x+32)f(x)=x2+x−3   Write the function in the form  y=ax−h2+kf(x)

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

A:

Q: B) Give the domain and range for g(x) = |x| + 3 10 8 2 2 4 6 8 10 -2 -10 -8 -6 -4 -2 -4 -6 -8 -10 4)

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Q: snip

A: Given function is fx=-x2+4x+5. Vertex form of a quadratic equation is given as: fx=ax-h2+k, where…

Q: Is x =0 in the domain of gex)- x-4x

A: Yes,x=0 in the domain of g(x) Here is detailed proof is given.

Q: 9. What is the domain of the function f(x) = Vx- 3? | A. (3, 0) B. (-00, 3] С. [3, о) D. (-00, 3)

A:

Q: Let h(x)=f(x)+g(x). If f(x)=3x2 and g(x)=4x, what is h′(5)?Do not include "h′(5)=" in your answer.…

A: we will find derivative h\'(5)for this we will use power rule at x=5

Q: L0. Given f'(1) = 0, f' (0) = 2.5, f'(2) = -3, is x = 1 a maximum, minimum, or neither of f?…

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Q: Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of…

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Q: Q4: Evaluate the function at the given values f(x) = v20 – x² when x = - 4

A:

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

A:

Q: 4 2 -1 3 4 5 6 7 1.

A: Given

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: F(x) = x2 +4 and g(x) = 2 -x  find the following  f(-2) - g(-2)

A:

Q: Q2// Sketch the graph of the function defined by the formula 0, xS-1 f(x) ={V1-x2,-1<x<1 x , x21

A: We have to sketch using the function in the suitable intervals.

Q: Find the value of f(-142) for the function below. f(x) = -0.2(x + 223)

A: To find the value of f(-142)

Q: 14. The range of the function f(x) = 3x² - 2x+8 is {13,29}. What is the function's domain? a. {1,-2}…

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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…

A:

Q: Use the graph of f (x) to identify the graph of f(x). 10 -2 4 -6 10f

A: Option 1 is correct Explanation is given below...

Q: x 3 to find -x + 9 x > 6

A: Answer is 18

Q: Determine the points of inflection on the graph of f(x)= 1 x²+3 -1 and 2 -1 and 1 2 and -2 None of…

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Q: Example: find the extreme values of the function f(x, y) = xy – x² -y² – 2x – 2y + 4

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Q: Let f(x)=x^3-3x^2-3x+9. For what values of x is f(x)=0? Draw a graph of f'(x).

A:

Q: What is the upper bound of the function? f(x) = 4x4 - 25x² - 5x - 13 Enter your answer in the box.…

A:

Q: Find the domain of the function.

A: Domain : All possible value of x in f(x)f(x) = 4x +4+8x-14

Q: f(x) = -3x² + 2, g(x) = x + 2 Find f(-5) - g(-5).

A:

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

A: Given   h(x) = f(x) +g(x)f(x) = 2x2g(x) = 8x5So,h(x) = 2x2+8x5Now, h'(x) = d h(x)dxh'(x) = d…

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?Do not include "h′(−3)=" in your answer.…

A: The problem concerns addition law for derivatives of functions:

Q: Draw the graph of f(x)=2-|x|, and use it to find the 2 value of |(2- a1) da. -2 Write your answer as…

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Q: Dertmine g(2.4) for the following function  g(x)=2[x+1]-4

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Q: 9. Sketch the graph and determine the domain and range -x', x 2

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Q: Find g’(2) when g(x)=f(x-x^2) and f’(-2)=1/3.

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Q: 2A.6A: analyze the effect on the graphs of f(x) = x, when f(x) is replaced by af(x), f(bx), f(x -…

A:

Q: an exponetial function is shown below f(x)=5(2)^x which graph and statement about the graph of the…

A: given,       fx=5×2x

Q: Find the absolute maximum value of f(x) = 2x3 + 3x? – 12x on the interval [0,2]. 4 -7 20 6.

A: Let f(x)=2x3+3x2-12x on the interval [0, 2] To find the critical points, Differentiate f(x) with…

Q: 3 4. Find the domain and range for the function f(x): 1- c2r

A: Given: The function fx=31-e2x, To find: The domain and range of the given function.

Q: 3x Consider the function f(x) = x2 +4x-5 For what value(s) of x is the function undefined?

A: The given function,   fx=3xx2+4x-5

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: True or false: The graph of f(x) = (x + 5)2 + 3 has its vertex at (5, 3)._______

A: For  f(x)=a(x-h)2+k, vertex is (h,k)

Q: 8. A student writes the following for the function f(x) 2 x¯- 8x+8 “ The domain of f(x) is (-∞, -4)…

A: Consider the given function as fx=x-2x2-8x+8

Q: True or False The y-coordinate of the vertex of f(x) = - x2 + 4x + 5 is f(2).

A: Given function is fx=-x2+4x+5fx=-x2-4x-5fx=-x2-4x+4-9fx=-x2-4x+4+9fx=-x-22+9