The domain D; and the range Rf of the function f (x) = V4 - Vx are:

Q: Express the given function h(x) =1/(4x + 5) as a composition of two functions f and g so that h(x) =…

A: We need to express the above function h(x) as a composition of two functions f(x) and g(x) such…

Q: The function h(x)% = can be expressed in the form f(g(x)), where g(x) = (x + 3), and x + 3 f(x) is…

A: Given query is to find the function f(x).

Q: 1 Find the range of the function y =x+ 3 when the domain is: a (-1, 0, 1, 2} b {x: -1 Sx S 2} c R

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Q: The domain of the constant function g (x) = k is ________, and its range is _______ .

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Q: If f(x) =2+|x-3| for all x, then the value of the derivative f'(x) at x= 3 is 0 .a -1 .b 1 .c 2 .d

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Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

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Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

A: Given data: The expression for the given function is f(x)= -x2+6x. The given point is A(2,8). (a)…

Q: The function h(x)=1/x−4, can be expressed in the form f(g(x)), where g(x)=(x−4), and f(x) is defined…

A: Given: ------------------------------------------------------------------------------------------…

Q: Find the local and absolute extreme values of the function on the given interval.  f(x)=…

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Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

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Q: Find the absolute maximum and minimum of the function f (x) = x³ - x+2 on the interval [0, 3] %D

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Q: Sketch the graph of f(x) on the coordinate plane below and find the exact value of c12 | f(x) dx…

A: The graph of the function is

Q: B- Gives a formula for a function y = f(x). In each case, findf' (x) and identify the domain and…

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Q: The function h(æ) can be expressed in the form f(g(æ)), - %3D x+7 defined as: f(x) =

A: Given: - The function h(x)=1x+7 can be expressed in the form f(g(x)),where g(x)=x+7 To find: - The…

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: If f(x) is a differentiable function such that f'(-2)=-1 and g(x)=f(3x+1), then what is g'(-1)?

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Q: The function h(x) = (x + 9)ʻ can be expressed in the form f(g(x)) where f(x) = x', and g(x) is %3D…

A: From the given data, we can write h(x) = f(g(x))

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: Find k such that the line is tangent to the graph of the Function Line f(x) = k/x y = 4x + 4 %3D k =

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Q: Over the interval (0,2), the function f(x) = (-x²) e*

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Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kv x y = 4x…

A: The function is fx=kx and the equation of line is y=4x+4. Equate both the functions: kx=4x+4k=4x+4x…

Q: The function h(x) 1 can be expressed in the form f(g(æ)), wher x + 4 defined as: f(x) =

A: The function h(x)=1x+4 can be expressed in the form f(g(x)), where g(x)=x+4 We have to find f(x) = ?…

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: For what value(s) of x does the function f(x)= 4x3-x2-2x+5 have a horizontal tangent line?  a.) x=…

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Q: Express the given function h(x) =1/(2x - 3) as a composition of two functions f and g so that h(x) =…

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Q: The function h(x) = (x + 1)' can be expressed in the form f(g(r)) where f(x) =x', and g(a) is…

A: Given functions are

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

A: We have to find the value of k such that the line y=2x+2 is tangent to the graph of the function…

Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: i Verify the domains and associated ranges of the following functions: a) y = v2 -x b) y = v2- x c)…

A: To find the domains and associated ranges of the given functions.

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kVx y = 4x +…

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Q: What is the value for k if f(x) =x² + kr + 13 is an even function?

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Q: The function f(x) = x/(x² – 1) is (b) odd (c) not defined at a = 0 (d) neither even, nor odd (e) not…

A: The vertical line test can be used to determine whether a graph represents a function. If we can…

Q: The derivative of the function f (x) is represented by f (x) = x - x +x -1at x= 1 is A. -2 В. -1 С.…

A: To find The derivative of f(x) at x=1.

Q: Given the functions determine an equation for the combined function y - fx) - g(x) and Ax) = x4 g(x)…

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Q: The domain of the following function is f(x,y)=1−√2y-x

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Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: function. (If an answer does not exist, enter DNE.) g(x) = 3x4 − 6x3 + 1 smaller x-value (x, y)

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Q: 1 Use the functions given by fx) 1 and g(x) = x' to find (fº g)¯- %3D X - 125

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Q: 2. For what value(s) of x is the following function undefined? 1 f(x) %3D x²-2x

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Q: The function h(x)=1x+9 can be expressed in the form f(g(x)), where g(x)=(x+9), and f(x) is defined…

A: Given that h(x) can be expressed in the form of f(g(x)) .  We have to find f(x)

Q: Find the absolute maximum and minimum values of f in the given interval. f(x) = x* – 2x² + 1, (-2,…

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Q: Consider the tables of values for the two functions shown. y = g(x) -2 y = f(x) -2 1 1 2 1 3 -1 1 4…

A: Problem is of relation and function. First we'll calculate g(-1) value and then we will substitute…

Q: The range of the following function is f(x,y)=1−√2y-x

A: Our objective is to find The range of the function is

Q: Find the absolute maximum and minimum values of f on the given interval\ f(x)=e^x/(1+x^2)     [0,3]

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Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: 6) Find the value of c such that {0, c} is 2-cycle such that c be a constant and let the function be…

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Q: f(x) = v x² + 5x - X

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Q: The domain of the following function is f(x, y) = 1 – /2y – -

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