Consider the function f (x) = 2x-4 for the domain 2, 0). -1 Find f (x), where f is the inverse of f. -1 Also state the domain off in interval notation.

Q: ): Apply Rolle's theorem for the function f(x) = 9x² – 36x + 27 over the interval [1, 3]. Justify…

A: Given :- Apply Rolle's Theorem for the function fx = 9x2 -36x + 27 over the integral 1,3.

Q: Differentiate the function with respect to the independent variable. f(x) = In (3 -x²) f'x) = D

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Q: Find the domain of the function.

A: Here the given function as fx=x26-x

Q: Use the intermediate value theorem to determine if f(x) = 7 somewhere on the interval [-1,3] for the…

A: Intermediate value theorem :  If a < b are two real numbers and f ( x ) is a polynomial function…

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: 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 f'(-1) for f(x) = 2x, Express in exact form?

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Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

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

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Q: Find a, b to Continue The function at x=35 * >3 3 X = 3 ax+b flx) = 2a-b+1 bx-a+3 X3

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Q: g(x) = v2 – 3x %3D

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Q: In the function:  f(x)= (5x)/((x^2)-25  How do you find the x-values of the inflection points?…

A: Given function is,

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: For the function f defined by f(x) = x2 - 4x + 1, find: f(-x)

A: Here given as fx=x2-4x+1

Q: How do I find f(x+h)?

A: We plug x+h in place of x

Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: Consider the function: f (x) = 3 |x|+x2 – 1 Find f(-2) exactly

A: Given:- f(x) = 3|x|+x2-1 To find:- f(-2)

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: ren f (x) = x2 + 5x + 6, g (x) = x- 3, evaluate (fo g) (2)?

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Q: Find the interval in which the function is negative. f(x) = x2 - 3x - 4 I. (- ,-1) II. (-1, 4) III.…

A: Given:   f(x) = x2 -3x - 4

Q: Explain why the function has at least one zero in the given interval.

A: The given function is f(x)=x3+5x-3 ,  0,1

Q: Let f (x) = 2x and g (x) = 3x2 + 1, find(go f) (x). Show your work using the Equation Editor Tool.

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Q: Determine the interval on which the function f(x) = x2 + 16x+ 13 is increasing.

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Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: 5x f(x): %3D H-7

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Q: Find f- (x) for f (x) = 1+ 8x. Enter the exact answer.

A:

Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial…

Q: Determine the interval on which the function f( x) = 44x – 4-x+12 is concave down.

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Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: Consider the function f(x) = х — 2 х — 4 -

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Q: Describe the x-values at which f is differentiable x² - 5, f(x) 15-x, 2' 5 – x, x > 0

A: When x≤0 fx=x2-5 Left-Hand Limit  = limx→0x2-5=-5

Q: Find the absoltute extrema of the function f(x)=x"-32x+256 on the interval-5,5

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

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Q: For the function f(x)= -1x, find f(X th)-f(x) %3D

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Q: Differentiate the function with respect to the independent variable. f(x) = In (3-x²) f'(x) =O

A: Consider the given equation is, f(x)=ln(3-x2) Then differentiate the above function with respect to…

Q: Find the domain of the function in interval notation: f(x) = Vx + 22

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Q: where is the function (5+x) / (x(x-2)) discontinuous?

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Q: Let f(x)=x+7/x2+2x−24 What is the domain is the interval =

A: To find out the domain.

Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

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Q: line to the functions: f(x)= v2 – 3x at x= -2 -

A: Definition used -                 Equation of a tangent to a point x= a for a function f(x) is…

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: C. Show that f(x) = (x26)² has no inverse on the interval (-∞,0).

A: Since you posted two questions here, i can answer only 1. Please reupload second question again.…

Q: Show that the function f (x) = x* + 3x + 1 has exactly one solution in the interval [-2, -1].

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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: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given

Q: Explain why the function has at least one zero in the given interval.          Function f(x) = x3 +…

A: Given: fx=x3+5x-3