Find f"(x) and identify the domain and range of f. x+6 f(x) : x- 5 f-1(x) = | ] (Type an exact answer, using radicals as needed.) What is the domain of f1? (Type your answer in interval notation.) What is the range of f¯1? (Type your answer in interval notation.)

Q: find f(x) so that f'(x)=-4e^(x)-6sinx

A: To find f(x) from f'(x) , we have to integrate f'(x) We first separate the integral

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = x + 1/x,…

A: Given, f(x)= x + 1/x  f(x)= (x²+1)/x For the function to exist the denominator must not be equal to…

Q: Find the absolute extrema of the function on the closed interval.

A: Find the derivative for g(x).…

Q: Consider the function f(x) = 2x² – 2 for x > 0. %3D What is the domain of f-(x)? Write your answer…

A: The given function is the one-one function in the given domain.   Replace f(x) by y and then…

Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

Q: find domain in interval notation f(x)=1/2x-6

A:

Q: find f-1 (x) for one-to-one function for f (x) = exsponent 5 of the quare root of  6x − 5 .

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Q: Find the absolute extreme of f(x)=x^3-12x on the closed interval [0,4]

A: for finding critical points take f'(x) = 0 then find the function value at the critical points and…

Q: Does the function f(x)=2^x approach a certain real number as the value of x increasing positively?…

A: f(x) = 2x clearly, 2x+1 = 27.2 > 2x  f(x+1) > f(x) or if a E R (i.e. a>0) then f(x+a) = 2x.…

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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Q: Find the domain of the function written in interval notation. f(x)= square root of x-4 divided by…

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Q: For what value of x is the function f(x) = 4/2x2-6x not continuous?

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Q: Find the intervals on which f(x) =x2-3x+8 is increasing or decreasing

A: Applying the property of increasing and decreasing

Q: -1 Find f (x) for f (x) = 13 + 14x. Enter the exact answer.

A:

Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

A:

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

Q: how would you find F'(x)? and what is the procedure to find F''(x)?

A: Given, Af is continuous everywhere. According to given, The function F(x) is a double integral.…

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0<x<2pi solve for f(x)>(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx>2cosx+3 .

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What…

A: Denominator of the function can not be equal to 0.

Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

A:

Q: Find the absolute extrema of the function f(x) = x* - 72x + 1296 on the interval [-7,7].

A: To find: The absolute extremum of the given function

Q: 49. Find (f)'(3) if f(x) = x³ + x + 1.

A:

Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

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Q: at which value of x does the inflection point of the function f(x)=5xe^x occur?

A: The given function is  f(x) = 5xex

Q: 7. Find the domain of f(x) = V² + 2x – 3 and write it in interval notation.

A: The solution is given below.

Q: Find the interval on which f(x)=x2-4x+3 is increasing and the interval on which it is decreasing

A: Answer

Q: Find the inflection points of f (x) = x* +x – 30x² + 6. Enter the exact answers in increasing order.

A: Given function  f(x)=x4+x3-30x2+6

Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: (a) By sketching the graph of the function f(x) = x³ + x² – 1, show that the equation f (x) = 0 has…

A: The root of the equation is 0.755 Also it is evident that it is lying between 0 and 1

Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: For what value of x is the function f(x)= 4/2x2 - 6x not continuous?

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Q: Find the domain of the function in interval notation: f(x) = Vx + 8

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Q: Find (f-g)(x) if f(x)=sqrt16x4 and g(x)=3x3-3x-5. Choose from the answers below.…

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Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

A:

Q: Consider the function f(x)=2x^2−2 for x≥0. What is the domain of f−1(x)?  answer in interval…

A: Domain set of all input values where f defined Range set of all output values

Q: 1. When the function f(x) is divided by x + 2, the quotient is x2 -x -8 and the remainder is -3.…

A:

Q: 3. Find the domain of f(x) = 1- 1 X X

A: We have to find the domain of f(x)

Q: How did the function f(x) = -x^3 + e^x - 8 satisfy the intermediate value theorem? Show that f has a…

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Q: Find the intervals of monotonicity of the function f(x)=x2e−x.

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Q: Find the domain of the function. Express the exact answer using interval notation. 2 f (x) 3x+4

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Q: A good interval to use for the Intermediate Value Theorem to find a root of the function f(x) =…

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Q: What is the truncation error in calculating f'(3) for f(x) = x2 by f'(x)- (f(x+h) - f(x))/h with h =…

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