Use the table of values to evaluate the expressions below. a f(x) | g(x) 6 8 1 1 6 2 2 3 4 4 7 5 3 1 7 4 8 3 5 7 2 f(9(7)) g(f(8)) = f(f(3)) = g(g(6)) = Ouestion Heln O Video

Q: Let h(æ) = f(x)+ g(x). If f(x) = 7x³ and g(æ) = 9x4, what is h' (æ)? Do not include "h' (7) =" in…

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Q: What is the domain of f? (-12,0) (24,4) (-8,4) 24,0) (1.0) (0.-2) -4 L(8.-4) (16,0) (-28,-4) -8

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Q: Let f(x)=x² and g(x)=x-1. Find (fog)(-5). (fog)(-5) = (Simplify your answer.)

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Q: Determine whether the given statement makes sense or does not make sense, and explain your reasoning…

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Q: What is the domain of the function 3 f(x) = V4-x a. all numbers greater than 4 • b. all numbers less…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 24. Let f(x)=2x-6). Evaluate f(-3). A. 0 B. 12 C. -12 D. -6.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: True or false? Explain. If g (x)=x, then g-'x)-x.

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Q: Use the table to evaluate the expression. g(g(2))

A: We have to find the value of the expression gg2 by using the given table: For gg2 first we need to…

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: (b) Describe the domain and range of f(x, y, z) = √4 − x 2 − y 2;

A: Given function is: fx,y=4-x2-y2 We have to find the domain and range of f(x, y).

Q: The value of f(3.5) from the following points (1,1), (2,14), (3,15), (4,5), (5,6), (6,19) is

A: In this problem we can use many interpolation method. I am using Newton-Gregory forward…

Q: Use the table of values for y = f(x) to complete a table for y = f-1(x). (Order your änswers from…

A: Given: For y=f(x) x -4 -3 -2 -1 0 1 f-1(x) 5 -5 -15 -25 -35 -45 To find:  A table y=f-1(x)

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)

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Q: Evaluate the different quotient (f(x)-f(a))/x-a, then ?(?) = 5 − 2? − 2?2

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Q: 8. Choose the correct answer. What is the domain of the function f(x) = -16- x²? Ox>-16

A: f(x)=-16-x2The function is defined everywhere.Domain is R (set of all real values)or (-∞, ∞)

Q: 3x + 4, f(x) = }x? - 5, 5, x 2 8. evaluate: f(-1.5) = f(6.5) =

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Q: Evaluate the following functions. Show your solutions. Given the function f(x) = 6x²+12x -15, where,…

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Q: Find the value of x for which f9x0=g9x0. (Enter your answers as a comma-separated list.) f(x)=x^2,…

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Q: In autumn, the leaves on a large maple tree change colour and fall off the branches. The first day…

A: If you like the solution then please give it a thumbs up.. The Answer is :      Result:         y =…

Q: Example: Evaluate the function for the given values of x x+7 for x < -2 x2 for-2sxS1

A: Topic:- function

Q: 3. What is (go f)(-2) if f(2) = 3x-1 and g(x) = 4x2 +9? %3D %3D O (go f)(-2) = 205 O (go f)(-2) =…

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Q: mswer below: f(x) = f(x) = (x) = -2 68 5 4 3 2 10 1 0 1 -2 -3 -4 -5 6 -7 2 -00 4 6

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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: 3. Let f : A → B. Then 18f = f and f1a = f. Hint. You may use the fact that fg, for functions f, g,…

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Q: Find the domain of the function f(x) = x - 7 {L # x | x}O O{x | x 7} Get help: Video

A: We have to choose the correct answer from the given option

Q: 4 k If f(x) = 5 – x, evaluate >f +1 4 k=1 Answer: Submit Answer

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Q: The graph of  f  (in blue) is translated a whole number of units horizontally and vertically to…

A: The graph of g(x) is obtained by adding 4 units to the f(x) and transforming x coordinate to x-2.

Q: Find the value of f(-7). y = f(x) 10 8 6. 4 -10 -8 6 -4 2 4 6. 8 10 -2 F4 -10

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Q: The function fis defined as f(x) = -7 3x²+2 Find f(x-5). Write your answer without parentheses, and…

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Q: run rs the functionf continuous onEdoj sc²+2*, If xS2

A: Given:

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

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Q: Use the set of functions to find  f(g(h(x))).  Simplify your answer. f(x) = x4 + 5,   g(x) = x −…

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Q: The function f is defined by f(x) = |x. Write down the expression for g (x). 6 4+ g (x) = ]

A: We have given the figure as f(x) is represented as a blue line and is equal to |x| we have to find…

Q: Simplify the expression 2а? + 9х + 4 x2 + 8x + 16 22 + 2х — 8 2x2 – 5x + 2 - - and give your answer…

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Q: Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. f(x) = 25x4 + 20x3…

A: Given: f(x) = 25x4 + 20x3 − 10x2 + 13,  k = − 4/5

Q: What is the discontinuity of the function f(x) = х? -3х- 28 , x+4 O (-7, -14) O (7, 0) O (4. –3)…

A: We will find the point of discontinuity.

Q: Find the value of f (3). y = f(x) 10 8 4 -10 -6 -4 -2 2 4. 6 8 -2 -4 -6 -8 -10

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Q: f(x) = 3x - 7, evaluate f(2)

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Q: Let G(x) = f(h(x)). What is the value of G' (3)? %3D

A: Given G(x)=f(h(x))

Q: What is the domain of the function? f (x) = 2 5x-12 x-4 2а2 - (-00, -4) U (-4, )U (,0) (-00,-)U…

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Q: Use the table to evaluate the expression. (f ∘ g)(6)

A: From the table above ,we have g(6)=4,f(4)=1 Now, we know:…

Q: Question Of Evaluate of the function f (x, y) = x³ + y²x - 3. Write the expression in terms of x and…

A: topic - partial differentiation

Q: dr For Tatx')(xtan-"(x) + 1) -=In(F(x)) +C. What is F(/3) if C=0? A B -15 -15

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Q: Describe the concavity of the functionf (x) = x V9 –- x² O The graph is concave down for -3 < x < 0…

A: The given function fx=x9-x2

Q: suppose f(x)=(x-4)(x+2) (a) for which values of x is the function f(x) positive? Explain using…

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Q: True or False If f (x) = x2 and g (x) = √(x + 9), then ( f ∘ g ) (4) = 5.

A: Given- fx=x2 and gx=x+9 To Find- Whether the value of fog4=5 is true or not.

Q: Using the definition f'cx) = lin fCxth ) -fw find f'C4) when fex)=-ax² +3x -7 3. ニーa×

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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: Find the value of x in the f 1. 6. 12 8. 1)x =

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.