83. Combining Functions If f(x) = x² - 3x + 2 and g(x) = 4 – 3x, find the following functions. (a) f+g (b) f - g (e) fa (d) flg (e) ƒ•g (f) g•f

Q: f(x)=5-6/x2, x > 0 f-1(x)=

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Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = 2((x – 1)² + 1)? It is…

A: Given query is to find the transformation performed.

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

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A: see below the graph  where points (0,2) and (2,0) is not included as there is break point in x=0 and…

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What happens to the function f(x) = (x – 1)² +1 when it becomes f' (x) = } ((w – 1)² + 1)? It is…

A: We have to find out the transformation

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A: Average rate of change is defined as change in quantity observed over a given interval of values.…

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A: Given, f(x)=x2(4+x) To find f"(x) and then f"(0) & f"(2).

Q: Find the net change in the value of the function between the given inputs. f(x) = 8 − 3x;    from 4…

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Q: f(x)=1-2x What is f(1/x)?

A: Solution: The objective is to find f(1/x)

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Q: 1) f(x) = 5x and g(x) = x - 3, find f(2) + g(1)

A: Please see the below picture for detailed solution.

Q: f(x) = x^2 + 4/2x What interval is the function decreasing?

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Q: ¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: f(x +h) - f(x) For f(x) = - 4x - x- 2, find f(x+h) - f(x) h

A: The function is given by fx = -4x2-x-2 To evaluate: The expression of fx+h-fxh

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Q: 8) For the function f(x) = Vx – 4 a. Graph f (x) b. Graph f-1(x) c. Write an equation for f-1(x)

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Q: x-2 where is f not differentiable? If f(x) = x-3

A: f(x)=x2-2x-3   Vertical asymptote of the above function is x=3

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Q: The average rate of change of a function  f(x) = x2  between  x = 4  and  x = 9  is average rate…

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Q: 4. f(x)2-と x+ x2-2 5. f(x): Xー

A: Given: Notice that the first function is not defined at x=-2 and the second function is not defined…

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Q: Find the equation of the line tangent to the graph of the given function at the point with the…

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Q: Find the average rate of change of the function from x = 1 to x = 2  F(x) = 8/x^2   Average rate…

A: We have to find average rate of change of function

Q: x² -1 ,find f'(x) and f"(x). x? - 3x+2 If f(x)= 4. „find f"(0). x-1 If f(x)= e* 5,

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Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

A:

Q: Description f(x) = – (x – 1)² + 4

A: Given,           fx=-x-12+4

Q: x + 2 f(x) = x + 6 f-l(-6) = | ]

A: Inn this question we have to first find the inverse function then we find the value of inverse…

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Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: How do you evaluate the function h(x)=x^4+2x^2+1 with these values: H(3) H(-1) H(-x) H(3a)

A: The given function is  h(x)=x^4+2x^2+1

Q: Estimate L4 and R4 over [0,7] for the function f(x) = 5x². (Use decimal notation. Give your answers…

A: Given: the function is fx=5x2 on the interval 0,7. To Find: L4 and R4. Concepts used:  The left…

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A:

Q: 30. Evaluate the function for x =-1; y= 3• 5%.

A: Given data: The given expression is y=3⋅5x. The given value of x=-1. Substitute -1 for x in the…

Q: 10) For the function f(x)- x-4 a) Find f(-3) and f(a+1) b) Find the domain

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Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

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Q: 7. What input value is needed for an output value of -2 using the function f(x) = 2x + 4? %3D How do…

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Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

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Q: 481. For functions f(x) = x² – 15x + 45 anc g(x) = x – 9, find @ x) ()) (b (-2)

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A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3…

Q: Given f(x) =x2- 1, find the value f(2)

A: Given f(x)=x2-1

Q: F(x)=4x+5 FIND F^-1(x)=

A: Let  y = F(x) = 4x+5