The table contains some input-output pairs for the functions f and g. x f(x) g(x) 2 9. 3 6. 6 9. 5 Evaluate the following expressions. a. f(g(3)) = Preview b. f(5) = Preview c. g(6) Preview d. f(g(9)) Preview

Q: Consider the following functions. f={(−4,−1),(1,1),(−3,−2),(−5,2)} and g={(1,1),(2,−3),(3,−1)}…

A: Given: f={(−4,−1),(1,1),(−3,−2),(−5,2)} g={(1,1),(2,−3),(3,−1)}

Q: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

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

Q: 4. Use the table to find f(g(5) and g(f(5). f(x) g(x) 3 -6 -7 4 -2 5 6 3 12 8

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Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

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Q: For Exercise, refer to functions f, g, and h. Evaluate the functions for the given values of x. f(x)…

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Q: A.INSTRUCTION: Evaluate the following Functions (2): fx)= 2x - 6x + 5 /(- 6): f(x) = V3x – 5 S(4):…

A: Topic - functions

Q: Use the function values for f and g shown in the table below to evaluate the expression. g(g(1)) 1 2…

A:

Q: Consider the following functions. f = {(-5, 2), (2, –5), (–1, – 3)} and 8 = {(-1, 1), (–5, 3)} %3D…

A: We have two functions f and g .

Q: Given the table for the function, h(x), what is the domain for h=1(x)? h(x) 1 3 2 3 4 12 O {1, 2, 3,…

A: In case of inverse function just interchange the domain and range.

Q: Consider the function f (x) = In arrow notation, which of 2-x-6 the following describes the behavior…

A: Simplify the function and calculate the limit

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: Use the function values for f and g shown in the table below to evaluate the expression. g(g(1)) 2…

A: From the table, we get, g(1) = 5

Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

A: answer is in next step

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: Give an example of the functions h(x) and g(x), such that (h o g) (x) does not exist. Explain your…

A: We have to give examples of the function h(x) and g(x) such that (h∘g)(x) does not exist. Let h(x) =…

Q: 3. Consider f(x) = Vx and g(x) = x3 + 2, construct the following function. g(f(x)) f(x) g-'(x)

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Q: Evaluate the function for  f(x) = x + 3 and g(x) = x2 − 2. (fg)(8)

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Q: Evaluate g(f(-2)] and f(g(3)] for the following function. f(x) = -x; g(x) D x2 + 5 OF

A: Given :

Q: Given the following arrow diagram for functions from A to B, give a possible rule for the function.…

A:

Q: Find the function :ス」 of Inuerse U-12 シ f() 13

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Q: The accompanying tables define functionsf and g. 1 3 f(x) 6. 3 4 6. g(x) 4 6. 8. 10 12 What is (g…

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Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

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Q: For Exercise, refer to the functions f and g and evaluate the functions for the given values of x. f…

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Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

A: .

Q: dertmine g(1.3) for the following function g(x)=2[x]-6

A: The given function is: g(x)=2x-6where   is the notation of greatest integer function.

Q: The table contains some input-output pairs for the functions f and g. xf(x) g(x) 4 4 11 8 8 4 8. 11…

A: The given table is,

Q: The accompanying tables define functions f and g. 1 2 3 4 5 f(x) 3 5 6 7 3 5 6| 7 g(x) 4 6 8 10 12…

A:

Q: Find the range of the function below given a domain of {-5, –1, 4}. f (x) = x² – 2x – 7 O {-4, 1,…

A: Explanation of the answer is as follows

Q: What's the type of the following function? f:(1,2,3,4,. → R f (x) = 1/x %3D

A:

Q: The table contains some input-output pairs for the functions f and g. æ| f(x) | g(x) 2 2 9 6 9 3 9.…

A: To evaluate the given expression with the given table values.

Q: 8. A student writes the following for the function f(x) = - Br+8 " The domain of f(x) is (-2, -4) U…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: Make a table of values for f(x) = x² - 6 showing function values for x = 4, 6, 8,.. f(x) 4 8 10 12…

A:

Q: The tables below show some inputs and outputs of functions f and g.

A:

Q: 6. Below is an injective function. * A 3 C D O A. True O B. False 2.

A: See the details solution in below

Q: Make a table of values for f(x) = x2 - 7 showing function values for x = 4, 6, 8,... f(x) 4 8 10 12…

A: Solution: The objective is make the table of values

Q: The table contains some input-output pairs for the functions f and g. x f(x) | g(x) 4 11 7 5 7 7 4 4…

A:

Q: 8. Consider g(x) = x² - 4 A) Is the function one-to-one? B) How do you know the answer to Part A? C)…

A: The given function is g(x)=x²-4 (A) The function is not one-to-one (B)Here g(1)=1²-4=1-4=-3 and…

Q: The table shows some input and output values of function f. f (I) -3 -8 -2 4 10 18 Describe a…

A: Let f(x) = y Taking 2 points i.e, (-3,-8) and (10,18) Now slope m, = (18+8)/(10+13) = 26/23 Now…

Q: c) Does the equality |A U B| = |A| + |B| hold for some sets A and B? d) Is the composition of two…

A:

Q: Make a table of values for f(x) =x² - 8 showing function values for x = 4, 6, 8,. f(x) 4 6 10 12 14…

A: The given function is                                   f(x)=x2-8    Now we find function values for…

Q: 3 %3D 2. Complete the table to describe all the end behaviours of the function f(x) = (x+2)2 As x -…

A:

Q: For Exercise, refer to functions f, g, and h. Evaluate the functions for the given values of x. f(x)…

A: Given functions are Firstly, we will find f(g(x)) by replacing x by g(x) in f(x) By substituting…

Q: The table contains some input-output pairs for the functions f and g. x f(x) g(x) 2 5 3 9. 6. 2 9.…

A: Given, The table contain the values of x, fx  and gx. We have to evaluate the following expression.…

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

A:

Q: Evaluate a Piecewise-Defined Function. Given the function below, find f(5). x²- x + 1, Given f(x) 3x…

A: Given fx=x2-x+1 ,    x≤-53x-2    ,  -5<x≤4x3-4x     ,     x>4

Q: The table contains some input-output pairs for the functions f and g. Evaluate the following…

A: To find out the values of the functions and inverse functions as per the question by the help of…

Q: Dertmine g(3.6) for the following function g(x) =2[x+3]-1

A:

Q: Consider the function f with the table of values given below and consider the function g(x) = 3f (1x…

A: The objective is to fill in the table.