The tables below show the values of four different functions for given values of x. f(x) g(x) h(x) k(x) 12 -1 9. -2 2 19 2 1 2 12 2 4 3 26 3 17 3 14 4 33 13 4 24 4 28 Which table represents a linear function?

Q: Find two functions f and g such that h (x) = (f • g)(x). h (x) = |3 – 2x"| Select a function forf…

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Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: 3. Consider the function f(x) = (g(x) – h(x)) and the following function values: g(2) = 5 h(2) = 4…

A: We have to find derivative

Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: 1 If f(3) = – 3,f'(3) = 7, g(3) = and g'(3) = - 4, find the following function value. %3D %3D 3' (6f…

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Q: Use the graphs of f and g to evaluate the functions. y = f(x) g(x)| 3+ 3- 2- 2- i 2 2 3 (a) (f –…

A: From the graph of the given functions, f(x) is piecewise function.  For 0≤x<2, f(x)=-2x+4 and for…

Q: Find f(x) if F is a linear function such that f(6) = -7 and f(-2)=2  f(x)=

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Q: Consider the function h (x) = 3f (x) +x²g(x) where ƒ (x) and g (x) are differentiable functions. Use…

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Q: The table shows values for functions f(x) and g(x). f(x) g(x) 1 14 14 3 -2 -4 -3 7 7 9. 11 11 -3…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  x f(x) g(x) 1 14…

Q: Which of the following is a constant function O a. x= 0 O b. f(x) = 0.25x O . f(x) = O d. g(x) =0

A: We have to find the constant function  We know that ,  The equation of a constant function is of the…

Q: 2. Decide if each function is linear or non-linear. Place the letter in the appropriate box. A) f(x)…

A: Given, A)  fx = 5x+2   B)  fx = 2x -4  C)   fx =3x2 +5  D)  fx = 23x -1  E) fx = -7   We have to…

Q: If h is the function given by h(x) = f(g(x)), where f(x) = 3x2 – 1 and g(x) = |x], then which of the…

A: Consider the given functions. f(x)=3x2-1 g(x)=|x| The objective of the problem it to find the…

Q: 4. The table shows some input-output pairs for the functions f and g. x| f(x) g(x) -2 1 -1 -2 -1 1 1…

A: Solution:

Q: 2 x+4 f(x) = /x-2-5 g (1) = g (x) = 8+x h (x) = |-10+ 6x| %3D

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Q: Consider the following. f(-4) = -5, f(1) = 4 (a) Write the linear functionf such that it has the…

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Q: Which table does NOT represent a function? A. В. f(x) f(x) 0. 1 -3 9. 3 -2 4 4. -1 1 0. 6. 1 1 7 4…

A: D is the right option. For A option,  f(x) = x+1 For B option f(x) =x2 For C option  f(x)  = 3

Q: 3) Given the function f(x) = -2(x+ 4) + 5, which of the following is the graphical representat of…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Use the graphs of f and g to evaluate the functions. y y= f(x) y = g(x) 4 4 3. 1 2. 3 4 3 (a) (f –…

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Q: A table of the function values for f(x) and f'(x), and a graph of the piecewise linear Function g(x)…

A: Given that, A table of function values of f(x) and f'(x) and a graph of piecewise linear function…

Q: (a) If f(x) is a linear function such that f(-1) = 4 and f(2) = -2 then find f(x) and sketch the…

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Q: The range of the function f (x) = -|x| is %3D a. (-0, +0) b. [0,+0) c. (-0, 0] d. None of these

A: The range of a function is the complete set of all possible resulting values of the dependent…

Q: A linear function is described either verbally, numerically, or graphically. Express f in the form…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: The function h(x)= (x+5)3 can be expressed in the form f(g(x)) where f(x)=x3  g(x)=

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Q: Consider the function f(x) = 3 24 5 For what value(s) of x is the function undefined? O 1,-5 O 2,3 O…

A: f(x)=3xx2+4x-5x is not defined for x2+4x-5=0

Q: Use the graphs of f and g to evaluate the functions. (b) 3 2 1 (f- g)(¹) (fg)(1) y = f(x) 1 2 2 1 1…

A: Given: The graph of fx and gx a) To find f-g1 b) To find fg1

Q: f (x) = x³ + 4x² – 12x [О, 3] on

A: The objective is to find the maximum and minimum value of the given function  on a given interval.

Q: 1. Which table could represent a function? x f(x) 1 4 g(x) 2 4 3 4 6. 2 4 (1) (2) x h(x) x k(x) 2 6…

A: Here, the objective is to find that which table represents a function.

Q: Which of the following hold for the given function? The cost of a first class stamp over the past…

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Q: Find two functions f and g such that ( f ∘ g)(x) = h(x).

A: Here h(x)=4(5x+2)2 ...............................(1) It is also given that; f∘g(x)=h(x)

Q: 2. Determine types of function for the following equations: b) g(x) = 3x +1 2-x a) f(x) = 2

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Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

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Q: A sketch of the function f(x) is given below: 4.7 5 5.2 If f(5) = 12 and f'(5) = -2, then find the…

A: Topic - coordinates of points on tangent

Q: Find the zero of the linear function: (d)  f(x)=5x−25 (e)  f(x)=−x+7 (f)  f(x)=23−x (g)…

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Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = -3, find h'(2) for h(x) = f(x) - g(x) a…

A: Take the derivative both sides and substitute the given valued.

Q: What is the domain of the function, f(x)=[(x-1)(x-3)] ⁄ [{x-2)(x-4)]?       Select one: a.   {x…

A: Set the denominator equal to zero for fractions with a variable in the denominator.

Q: The functions f (x), g(x), and h(x) are defined below. f(x) = -2x g(x) = 2x + 5 h(x) = x² + 3x – 10…

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Q: If f(x) is an even function, which function must also be even? (1) f(x – 2) (2) f(x) + 3 (3) fl(x +…

A: For function to be even it must be symmetrical about y axis  and also

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is…

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: A linear function is described either verbally, numerically, or graphically. Express f in the form…

A: Given: x f(x) 0 6 2 5.5 4 5 6 4.5 8 4

Q: The functions f, g, and h are defined as follows. f (x)= /2- 2x 10+x g (x)= |12x- 10| h (x)= 3

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Q: Find a linear function f, given f(6)=-1 and f(-9)=-6. than find f(0)

A: Let the function is f(x) = ax + b ..... (1)

Q: If f(g(x)) and g( f(x)) both equal x, then the function g is the ________ function of the function f

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Q: A. B. f(x) f(x) -3 3 -2 4 3 4 -1 4 1 6 2 C. D. f(x) f(x) 3 -1 3 3. 4. 5 3 6. 3 Which table does NOT…

A: for a valid function for one value of x, the function could not be more than one vale or having only…

Q: Given that h(x) = (go f)(x) and g is an even function, complete the table: 1 2 3 4 f(x) -1 g(x) 2 2…

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Q: Given the table below, determine whether y is a function of x and if the function is one-to-one. 9.…

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Q: values

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Q: Given the equation of f(x) and graph of g(x) below, compare the functions. 12 10 -2 f(x) = 4(2)* +1…

A: Horizontal asymptote is the horizontal line where x tends to +∞ or -∞ Vertical asymptote is the…

Q: Refer to the functions f, g, and h and find the given function. f(x) = 2x+5 g (x) = x+ h (x) = Vã…

A: Givenf(x)=2x+5    , g(x)=x4  h(x)=x5To find(f∘g∘h)

Q: How many ways are there to represent a function? Find the domain of the following function x²+3x+1…

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