Let f(x)= 2/x-3. Let g(x)= 5/x+2. Find the domain of f/g

Q: Describe the long run behavior of f(x) - 2? As x → - 0o, f(x) → ? As x → 0, f(x) → ?

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Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3

Q: Find the intervals on which the function f(x)=x2+1x is increasing and decreasing.

A: We have to find the intervals on which the function f(x)=x2+1/x is increasing and decreasing

Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

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Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: Consider the functions :  f(x)=√x and g(x)=x-1 Solve for- (f°g) (x)

A: Given:

Q: Differentiate the function.      f(x)  =        ______1______                            In x

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Q: Find the absolute extrema of the function on the closed interval.                   f(x) = x3 + 6x2…

A: To find the absolute extrema of the function on the closed interval. first differentiate and find…

Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

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

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

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Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: Determine the linearization of the function f ( X) = (√4X+ 1)  at x=6. Use that linearization to…

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Q: Find the graph of the function f(x) = [x] + [x/2] from R to R.

A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: Find the domain of the function. f(x) = √(ln x)

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Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

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

Q: Determine the open intervals where the function f(x)= xe^x is increasing and where it is decreasing.

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

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Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

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Q: Obtain the ROOT of the f(x)=x²-2e-×+e-2x function using

A: b. Newton Rapshon method  fx=x2-2e-x+e-2x f'x=2x+2e-x-2e-2x , x0=4 1st iteration…

Q: Find the absolute maximum and minimum of the function  f(x)=xe-x on  the interval [-1,1]

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Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: Consider a function f(x) = |x – 3|. a. Show that f (x) is not differentiable at 3. -

A: Given         f(x) =|x-3|

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Find the domain of the function: f(x) = ln(3 - x)

A: The Domain of a function Includes all values of x for which the function is defined. We know that a…

Q: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,…

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Q: X- e.

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Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Determine the domain of the function f(x) = In(ln r) + x

A: f(x) = ln(ln x) + x f(x) is not defined if ln x &lt;= 0 [as then ln(ln x) is not defined] ln x &lt;=…

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

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Q: Determine where the function F(x)=8x/x2+4 is continuous. The function is continuous on ?

A: Suppose   are continuous function at then rational function is continuous at   if .

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…

Q: Find the absolute maximum of f(x) = x³ – 12x + 1 on the interval [0, 4]. -

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Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Show that the function g(x) =x |x | has an inflection point at (0,0) but  g " (0)  does not exist.

A: Given function:                                 g(x)=x|x|   To find out the Inflection point=?…

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

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

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Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x &amp; Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Find the value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: What is f'(x) at x = -1 of the function f(x)=x^-2 + (x^2)^(1/2) *

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Q: Find the constant a such that the function is continuous on the entire real line. 5x², ах — 7, f(x)…

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Q: 14) What is the domain of the function f(x) E, ?

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Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.