For Exercises 47-50, evaluate the function for the given values of x. (See Example 5) -2|x| – 3 for x < -2 for -2 < x < 3 (- 3x + 7 for x < -1 47. f(x) + 3 for -1 sx < 4 48. g(x) = 5x + 6 5 for x 2 4 4 for x > 3 c. f(-1) b. g(3) a. f(3) d. f(4) b. f(-2) a. g(-3) с. g(-2) e. f(5) d. g(0) е. g(4)

Q: 2 Given the functions f(x) = 3x - 2 and g(x) = x² + 1, find: a. f(x) + g(x) b. f(g(x)) c. (f - g)(4)…

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Q: et m(x) = 2x² ax -2 and n(x) = bx² + 2x + 5. The functions are combined to form the new unction p(x)…

A: Let the two functions be as follows:The above function combine to form the new function that is To…

Q: 2х - 3 f(x) x - 4 a. f(0) b. f(3) c. f(-4) d. f(-5) e. f(a + h) f. Why must 4 be excluded from the…

A: Given function is f(x) = 2x-3x-4 a. f(0) f(0) = 2×0-30-4           = 0-3-4           =-3-4…

Q: Consider the following. 3x2 - 11x - 4 x - 5x2 - 9x + 45 f(x) = (a) State the domain of the function.…

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Q: 1) Give an example of a function whose domain does not include x = -2 or x = 2.

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Q: (6x - 5, -x2, X -5 f(-1) = %3D

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Q: Simplify the expression 5x3 – 7x2 – 6x 2x2 – 10x + 12 and give your answer in the for f(r)

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Q: 8. What are the domain and range a. Domain = {x € R|x>7} Range = {y = R} b. Domain= {x = R} Range =…

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Q: 5/4 Evaluate the piecewise-defined function for the given values. (-2x – 3 when x 1 63. f(0)…

A: A detailed solution is given below

Q: Given the function: (x² + 5x-2,-4<xs-1 7x+|-x|,-1<x<3 f(x) = {²7²x i. List ALL the elements of the…

A: Concept Used: Domain: The set of all x--values that a function passes through. Also, the left…

Q: Use the table to below to answer questions for 19-27. -3 -2 -1 3 7 -1 0 -8 X f(x) 11 g(x) -8 9 -3 0…

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Q: Simplify the expression 1 + c-1 1 C- and give your answer in the form of f(c) g(c)* Your answer for…

A: The objective is to simply the expression.

Q: - For the functions f(x) = x + 2 and g(x) = x - 3, which expression has the greatest value? a)…

A: We have given:Find the composite function :Find the composite function :

Q: 4.Are the functions shown equivalent? Explain your answer.   f(x)=(2x-5)(-3x+4)…

A: we can say that f(x) is not equal to g(x)   the explanation is given below

Q: ーx+ 1, - 10 sx<-3 x - 9, - 3 <x< 3 2x + 1, 3 <x < 5 f (x) =

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Q: 11. f(x) = 2x + 1 g(x) = x - 3 %3D

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Which graph represents the function that has the rule f(x) = x(x − 2)(x+6)(x + 1)? A B O D (. O 150…

A: We have given graph of function fx=xx-2x+6x+1 To get zeros of the function  Put fx=0 xx-2x+6x+1=0…

Q: Which of the following is the domain of the function f(x) = /æ + 4? {x €R | x -4} {x €R |x > 4} {r…

A: Given: fx=x+4   As we know that; The function y=fx is defined when fx≥0.

Q: a2 + (11 – 4x) a. Evaluate f(6) given that f(x) %3D 9x f(6) = 23/54 Preview %3D b. Evaluate g(x + 2)…

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Q: Use interval notation to determine f(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: 13. Given ƒ(x)=x² −7x+6, g(x)=3x −1 a) Evaluate g(3) c) Determine and simplify g(a) + f(a) b)…

A: Given that the functions fx=x2-7x+6gx=3x-1            .

Q: The function f(x)=-(x+3)+2 opens up. O True O False

A: Let's find.

Q: (c) Find, if any, the solutions of fg(x) = gf(x).

A: Given f( x ) = x2 - 2 g( x ) = 3x - 1

Q: Evaluate the function below at x = 14. f (æ) ÷+7 x > -10 (2 + 3)² x<-10

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Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: The plot below represents the function f(x) 8 7 66 x= 5 4 3 ریا 2 444 1 -5 -4 -3 -2 -1 -1 744…

A: As per the given graph