What is the inverse of the function f(x) In(5x 2) for {x: x E R |x > 0.4}?

Q: find a general formula for f (n)(x). f (x) = x−3/2

A: Given, f (x) = x−3/2 To evaluate, fn(x)

Q: For the function f(x) = Væ +3, find ƒ¯'(x). f (x) = (x + 3)° f-1(x) = Vã – 3 %3D %3| f-'(x) = x³ – 3…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a general formula for f (n)(x). f (x) = xe−x

A:

Q: Find f' (a) for 13x f(x) = 9x + 8 f' (a) =

A:

Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

A:

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: Find a general formula for f (n)(x). f (x) =x-2

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Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: For f(x) = 3x +9 find f-(-4). %3D x-5 If necessary, answer with a reduced fraction or four decimal…

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Q: 1) Let f(x) = –2x² – 3x + 2 f (x+h)-f(x) Find where h # 0 and simplify your answer as much h…

A: We have to find the value of function

Q: find a general formula for f (n)(x). f (x) = x2e x

A: The first derivative of a function when equated to 0 gives us the critical points of the function…

Q: Find (f −1)'(a). f(x) = x3 + 7x + 8, a = 0 (f −1)'(a) =?

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Q: What is f′(x) if f(x)=40x^5/e^x

A:

Q: 2.) For the functions f (x) = 3x + 5 and g(x) = 2x – 8 find (E) (x) and give its domain in interval…

A: Consider the functions  f(x)=3x+5g(x)=2x−8

Q: The population of wolves in a wildlife reserve can be modelled by the function f (x) = 1000+600x…

A: The given population of wolves is given as fx=1000+600x10+0.6x The domain of the function is defined…

Q: The ratio of f(x) to g(x) is 3: x+2. If f(x)=x-2, what is g(x) in terms of x?

A: we have given ratio of f(x) to g(x) is 3: x+2 and  f(x)=x-2

Q: As x approaches infinity, which functions f(x) also approach infinity? How can :…

A: It's easy to see that the function that you have quoted is…

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: For the function f defined by f(x) = 2x*-8x²+10x²-7x+1 for x E R* Use the Ad-hoc Calculations method…

A: Big O notation is a mathematical notation that describes the limiting behavior of a function when…

Q: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

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Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: Find a general formula for f (n)(x). f (x) = x−1/2

A:

Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

A:

Q: Try to guess a formula for f' (x) where f (x) = 2*. f' (x) =

A:

Q: Let h(x)=f(x)g(x). If f(x)=4x^2+3x+1 and g(x)=3x^2−3x−4, what is h′(−1)?

A: Given: hx=fxgx, fx=4x2+3x+1, gx=3x2-3x-4

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

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Q: Find the difference quotient of f(x) = x² at x = a and simplify. (The difference quotient at x = a…

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Q: Suppose you have just finished approximating f (x) = x3 for 0 ≤ x ≤ α and ended up with φˆ(α, x) =…

A: Given suppose you have just finished approximation f(x) =x3 for 0≤x≤α and ended up with φ^ α, x=…

Q: Find the inverse 0f             y =f(x)= x2, if x ≥ 0. Graph f and f -1.

A: A function g is the inverse of function f if for y=fx,  x=gy Inverse of x2:y=x2Replace x and…

Q: 2. Find the difference quotient of f(x) = x² at x = a and simplify. (The difference quotient at r =…

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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<0 Thus, the left hand…

Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

A:

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

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

A:

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

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Q: Let h(x)=f(x)g(x). If f(x)=−3x2+2x−3 and g(x)=−3x2+4x+3, what is h′(1)?

A: Given:h(x)-f(x)g(x)f(x)=-3x2+2x-3g(x)=-3x2+4x+3

Q: Suppose that f(x) 16e" – exº. Find f'(3). f'(3) =

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Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

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Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D

A: The objective of the question is solve the  DE with help of given conditions.

Q: For the function f(x)=3e^x^3 F’’(x)= 27x^4e^x^3-18xe^-x^3 Find f’’(1)=

A: We have to find derivative

Q: 8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

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Q: For the function f(x) = (E)', find f-'(x). 8 Of (x) = (8/") || 4 Of (x) = (V8x)* f1 (x) = V (8æ)“…

A: Solution: The objective is to find the inverse of the given function

Q: What is the domain of the function f(x) = %3D 5" Vn n-1

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Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

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Q: For what value(s) of the constant c is the function f(x)= {cx2+2x   x2 continuos everywhere?

A: Given function is continuous on x<2 because f(x)= cx2+2x for x<2 is a polynomial. Similar f is…