In Exercises 25-26, for each pair of functions, f and g, determine the domain of f + g. 25. fх) %3D Зх + 4, g(х) 4 - x 7x 4 * + 6 8(x) = x + 1 26. f(х) %3|

Q: Find f( - 1)  if f(x) = 2x2 - x.

A: Consider the given function. fx=2x2-x We have to find the value of f(-1). So, put -1 for x in the…

Q: In Exercises 43–46, find the value(s) of x for which f(x)= g(x). f(x)=x^2+2x+1, g(x)=5x+19

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Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

Q: What is the definition of the piecewise function from the given domain and range: Domain: (-…

A: The domain and range is given as , Domain = (-∞,0]∪2,∞ Range = -∞,4 find the definition of piecewise…

Q: Define Sx² – 5 if x 1 Calculate f(2).

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

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Q: Which are the Greatest and Least Integer Functions?

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Q: In Exercises 65–67, graph each linear function. 65. f(x) 3 --x + 3 (Section 2.4, Example 5) 66. -2x…

A: 65. Given linear function is: fx=-34x+3 The corresponding graph is given below:

Q: x2 + 4х + 3 23. у %3

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Q: -5- - fx – 3;x 0 f(x):

A: Suppose we have piecewise function and need to find value of function at x=a . Follow below approach…

Q: Compute the difference quotient  f(x+h)-f(x) / h  for f(x)= 4x2-9x

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Q: 7 - a2 If f(x) : find: 8 + x2 = (x),f

A: We have to find f'x if: fx=7-x28+x2 We know the formula of derivatives,…

Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: In Exercises 7–10,find the two x-intercepts of the function f andshow that f '(x) = 0 at some point…

A: the given function is: fx=x2-x-2 we have to find the two x-intercepts of the function f and show…

Q: Exer. 43-50: Simplify f(x), and sketch the graph of f. 2x²+x-6 43 f(x) x² + 3x + 2

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Q: Be f(x) = 3x^2+7x-2, g(x) = 4x^2-x+1 and h(x) = x^3+x^2-2 determines:

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Q: the domain of the function f(x) = 2x² - 8 is {-2,3,5}, then the range is 6. 1) {-16,4,92} 2)…

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Q: In Exercises 55-58, find the indicated function values for each function. 55. f(x) = Vx – 1; f(28),…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

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Q: What is the end behavior of f(x) = 1/x? (Fill in blanks) As x-- 00, f(x) - As x- +00, f(x)

A: What is value of f(x) at different different locations?

Q: For Exercises 33–46, determine if the function is even, odd, or neither. (See Example 4) 33. f(x) 3x…

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

Q: Show that (f 3)' = 3 f 2 f'.

A: Our Aim is to show that (f3)'=3f2f' -(i)

Q: Scientists in Malaysia have collected data revealing that there is a linear relationship between the…

A: Ix=2.41+0.12x (a) Substitute 70 for x into provided linear model. I70=2.41+0.1270=2.41+8.4=10.81 cm…

Q: Differentiate f (x)  = e4x2-x

A: Given, fx=e4x2-x

Q: Suppose that f( – 4) = 4 and that f'(x) = 4 for all x. Must f(x) = 4 for all x?

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Q: What are the Greatest and Least Integer Functions?

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Q: List four notation alternatives to f' (x)

A: List four notation alternatives to f' (x) = ?

Q: The domain of the function f(æ) = v9-a is OR-{-81,81} OR-{-7,11} O R-{-9} OR O R- {9}

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Q: In Exercises 102–103, find a. (fog)(x); b. the domain of (fo g). x + 1 * - 2" 103. f(x) = Vx – 1,…

A: Since the exact one wasn't specified we'll submit the first question only. Please resubmit a new…

Q: 5- -10 --5 -5-

A: According to given graph of function parent function isy=-xgraph shift left 2 units y=-x+2graph…

Q: Compute the Difference Quotient for g ( x ) = (5x)/(x−4).

A: Consider the given function:

Q: Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each…

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Q: After declining between 1940 and 1980, the number of multigenerational American households has been…

A: Given, Function,h(x)=0.012 x2-0.583 x+35.727 To find: Year in which there were 40 million…

Q: Find the domain of the function. f(x) = 20x +3             x-7           (−∞, 7) ∪ (7, ∞)…

A: The first option is the correct option. Consider the function f (x) and the condition for the…

Q: Suppose that: f(2) = -5, g(2) = 2,  f'(2) = -1, g'(2) = -3 Find h'(2) a: h(x) = 3f(x)-5g(x)…

A: It is given that, f2=-5, g2=2, f'2=-1 and g'2=-3. a) The function hx=3fx-5gx. Then, find h'x and…

Q: Determine the maximum number of turning points of f. 3) f(x) = -x2(x + 4)3(x2 - 1) %3D

A: Given :  f(x)=-x2(x+4)3(x2-1)   To Find : The maximum number of turning points of f(x).   Note :…

Q: In Exercises 13-14, find the domain of each function. 13. f(x) 3 (х +2)(х — 2) 14. g(x) (х + 2)(х —…

A: 13. f(x)=(x+2)(x-2) 14. g(x)=1(x+2)(x-2)

Q: find doman and range    f(x) = -5 ; x = -3,-2,-1,0,1,2,3

A: Domain: The domain of a function f(x) is the set of all the values of x for which the function f(x)…

Q: For exercises 5–6, use the functions f(x) = x² + x and g(x) = 3x - 5. Simplify your answe…

A: 5.  f(3x-5) =(3x-5)^2 + (3x-5) = 9x^2 + 25 -30x + 3x -5 =9x^2 -27x +20.

Q: In Exercises 20–22, find the domain of each function. 20. f(x) = 7x - 3 1 21. g(x) x + 8 3x 22. f(x)…

A: The domain of a function are all values of the function variable , at which the function is defined.…

Q: Differentiate f(x) = x² – 3x by first principles“

A: Given f(x)=x2-3x

Q: We opened this section with a study showing that late in the semester, procrastinating students…

A: Given;

Q: 3) Show that (f • g)(x) = (g • f)(x) = x. f(x) = 4 – 3x g(x) =(4 – x)

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Q: Part II. Evaluate the piecewise function for the given values of x. fx +5 if -4 x<-2 f(x)=- 1. if…

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Q: 7. Find and simplify the difference quotient f(x+h)-f(x) for the function f(x) = x² -

A: I am answering first question

Q: Find f"(3) if Ax) = X-2.

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Q: 1 If (x)=÷x' - 4x² - -x, then f(3)= 3 4

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Q: After declining between 1940 and 1980, the number of multigenerational households has been…

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Q: In the year 2016, the total number of metric tons of copper produced in the world was 495,000. Each…

A: Solution