In Exercises 19-30, for each pair of functions, f and g, determine the domain off+ g. 19. f(x) = 3x + 7, g(x) = 9x + 10 20. f(x) = 7x + 4, g(x) = 5x 2 2 21. f(x): = 3x + 7, g(x) 22. f(x) = 7x + 4, g(x) 1 23. f(x) 8(x) 1 24. f(x) · g(x) х — 6 8x 6. 25. f(x) 28(x) + 3 9x 7 26. f(x) 8(x) = + 8 8x 27. f(x) • 8(x) 2' - X 9x 7 28. f(x) g(x) 4' 4 29. f(x) = x², g(x) = x³ 30. f(x) = x² + 1, g(x) = x³ – 1 6, 2. 6,

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

Q: In Exercise 4, find the domain and range of the function. 4. f(x, y) = √(36 − x^2 − y^2)

A: Consider the given function z = f(x, y) = √(36 − x^2 − y^2)

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

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Q: What is the value of g(x) when x = 3 in the piecewise function, g(x) = x2 + 1 if x > 3 and g(x) =…

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Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: company models it’s net income, in thousands of dollars, with the function f(x) = 9x^2-54-144, where…

A: Given query is to find the value of x where f(x) is zero.

Q: Differentiate the function. 3 + 6x g(x) 7 - 2x g'(x) =

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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: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

Q: In Exercises 7-14, sketch the domain of the function. f(x, y) = 12x - 5y

A: We have given a function in two variables x and y. The domain of a two-variable function is the set…

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: What is the equation of the line passing through the vertices of the graphs of the functions f(x) =…

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

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Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

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Q: x2 + 4х + 3 23. у %3

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Q: In Exercises 31–34, graph the piecewise-defined functions. 3- x, 32. f(x) = 31 f(x) (2x, 1< x

A: From given function, (3-x) function is valid for X less than or equal to 1 and zero for X&gt;1 And…

Q: 7) Determine when the function f(x) = 6x - 35x +56x - 20 is positive and when it's negative.

A: The given function is: f(x)=6x3-35x2+56x-20

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

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Q: Differentiate the function. 1 g(x) = - (2x3 + 3x + 5)3/4 g'(x) =

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Q: What are the points of intersection of the graphs of thefunctions f(x) = - 3x + 2 and g(x) = x2 - 2x…

A: f(x)=-3x+2 and g(x)=x2-2x-4

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: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: In(2 - a) x² + y² – 16' Determine the domain of the function f(x, y)

A: The domain of a function is the values of the variables of the function that result in a defined…

Q: Discuss the continuity of the function: (x2 + 2x - 4 xs-2 g(x) = } (6– x) x > -2

A: Given :g(x)=x2+2x-4x≤-2(6-x)xx&gt;-2

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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: 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: Find the maximum value of the function f(x)=x3+3x2-9x attains in the interval [-4, 3].

A: Differentiate the given equation as, f'(x)=x3+3x2-9x=3x2+6x-9=3x2+2x-3=3x2+3x-x-3=3xx+3-1x+3=3x+3x-1…

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

A: Revenue, R(x) = Price x Quantity Hence, R(x) = [-(1/5)x + 50]x = 50x - (1/5)x2

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

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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: Without using a​ calculator, complete the table with values of the function ​f(x)=(81)x. Then use a…

A: given function is f(x)=81 x find out the values of f(x) at x=-34,-12,-14,0,14,12,34,1

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)…

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Q: Determine the maximum number of turning points of f. 31) f(x) = (x – 2)2(x + 4)2 %3D

A: To find the turning points f(x)=(x-2)²(x+4)²

Q: Differentiate a function using chain rule H (x) = 1/(9x2 - 16)3

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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: - Consider the function f(x) = x* – 182 + 8, - 2 <7.

A: In this question we find the absolute maximum and minimum for the given value of function.

Q: Differentiate the given algebraic function 1. y = 2x3 – 7x +1 - -1 2. y = x 2 2. y = x2- 4x 3. y =…

A: Solution: 1. y=2x3-7x+1

Q: In Exercises 19–24, use the graph off to find each indicated function value. y y = flx) 19. f(-2)…

A: Consider the given figure

Q: What are the minimum and maximum of values of the function y=3sin(3/4)(x+2π/3)-5

A: Given- y=3sin34x+2π3-5 To find-  The minimum and maximum of values of the above function. Concept…

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

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Q: Describe the end behavior of f (x) = x³ – 4x² + x + 6 -

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Q: Differentiate the function. h(x) 4 xS - 4x3 + 1)8 5, x5 – 4x³ + h'(x) = %3!

A: We will use chain rule to solve this problem;

Q: Suppose f(-3) = -8 and f(-1) = 2. Determine the linear function represented by these values.

A: