Find the composite functions (f g) and (g f). What is the domain of each composite function? 2. f(r) g(x)

Q: 1. Determine the domain and range of the function and explain your answer. 1 f(x) = x² %3D 1

A: topic - domain and range of a function

Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

A: Given a) f(x)=19-xb) g(x)=|x|x

Q: 5. Sketch the function f(x) x(x - 3)(x – 4)

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Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x² ? g(a)…

A: NOTE: Refresh your page if you can't see any equations. . the parent function is  . and the given…

Q: Use the functions below to find the given value. f(x) - 5 %3D g(x) = x3 (g f-(-5) = %3D

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Q: f(x)=5x^2 -5 what is the f(f(x))?

A: We have f(x) = 5x²-5. So for f(f(x)) we substitute 5x²-5 in place of f(x) and then substitute…

Q: b) Find the domain and the range of the following function: f(x)=√x²-25

A: Please see the below picture for detailed solution.

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

A: Note:

Q: Refer to the function g(x)=[x] determine g(4.8)

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Q: In general, (fg)' is not equal to f' g', but let f (x) = e3x and find a function g such that (fg)' =…

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Q: Use the pair of functions to find g(x)) and g(fx)). Simplify your answers. x + 2 f(x) = Vx, g(x) :…

A: f(x) = x3 = x1/3 g(x) = x+2x3 f(g(x)) = ? g(f(x)) = ?

Q: Find the domain and range of the function

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Q: 2x? + ху? %3D 1

A: Given function is 2x2+xy2=1. BY product rule of differentiation, we have ddxuv=uddxv+vddxu…

Q: 2x Use the function f(x) to answer the following questions. x² +2

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Q: 3. Determine the function f (x) for which f' (x) r3 II

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Q: a) Determine the domain and range of the function: 1 f(x, y) Va² + y² – 1 b) Sketch the domain.

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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: When looking for fa (x)] the function g is performed first, then f. True False

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Q: h the function g(x)= x²

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Q: 3 3 For the functions f(x) and g(x) ==+4, find f(g(x)) and g(f(x)), %3! х — 4

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Q: When looking for f [g (x)] the function g is performed first, then f.

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Q: The domain of the function f= sech(3- is (22, A). Then The value of k= The value of A =

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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Q: Consider for what value of x are the function, f(x) = is defined? 5-x

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Q: Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f (x) = 2x + 6 g(x) = x +…

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Q: 3. Find the domain of the function ух- 10 f (x) : wwwwww

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Q: Find (f+g)(3). Enable Zoom/Pan -2

A: We have to find function value

Q: Find the domain of the function.   f(x)=x−1 What is the domain of​ f?

A: We have to find the domain of the given function

Q: Find the domain of the function. 8 f(x) =- X-14

A: Our Aim is to find domain of f(x)=8/(x-14).

Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: Find the domain of the function. f(x) = x2 – 10x – 14 What is the domain of f? O A. (-00,00) O B.…

A: Answer is- Option A is correct

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

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

Q: Evaluate the function for f(x) = x + 3 and g(x) = x² – 2. (f + g)(3) (f + g)(3) = Need Help? Read It

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Q: Determine whether the function f is one-to-one.

A: Given: Determine whether the function f is one-to-one. f(x)=x2+4

Q: What is (f + g)(x)? f(x) = -2x + 4x g(x) = 5x Write your answer as a polyn function in simplest…

A: (f+g)(x) = f(x) + g(x) Therefore (f+g)(x) = -2x2+4x+5x

Q: Use the functions below to find the given value. f(x) = x - 2 8 g(x) = x³ (gof)(-2) =

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Q: Use the functions below to find the given value. f(x) = x 2 8 g(x) = x³ (g¹¹) (-2) = |

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Q: Identify the parent function of f(x)% = 4 |a-2|. Provide your answer below: f(x)%3=

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Q: . What is the range of the function f(x) = 2sin(x + ¹)? d. [-2, 2] a. (0, 2) b. [0, -2] c. (-2, 1)

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Q: What is the domain and range of the function? Sketch the domain. f(x,y) = -(ln(x2+y2-9))2-9

A: We need to find the domain of the given function. Note that "ln" is defined only for positive…

Q: Express the function,h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘…

A: Given, hx=2x-53

Q: c) f(x) = 2

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Q: The table represents the function f(x) when f(x)=-3 what is x

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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: Consider the function f(x) = 3x-2 and the function g(x), which is represented by the table below

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Q: Evaluate the function. f(z) = –x² + 3 %3D Find f(-2)

A: Topic = Functions

Q: Consider the functions:  f(x)=3x and g(x)=x+5                              find the value of (f°g)-1…

A: Given:

Q: Find the domain of the function.

A: The domain of a function is the set of values for which the function is defined or set of values for…