g(x)= f (x)-(f(x))" +(f (x))* for all xeR. Prove that f (x) and g(x) increase or decrease together.

Q: Find f-1(x) f(x)=(e-x)/x

A: Given, f(x)=(e-x)/x To find f-1(x)

Q: Let f(x): = Compute f(x) f'(x) = f"(x) = = 4 + 6x x

A: given function is  f(x)=4+6xx=4x+6 then computing following :----   f'(x)=ddx4x+6=-4x2…

Q: Define F : R → R and G : R → Z by the following formulas: F(x) = (x^2)/3 and G(x) = ⌊x⌋ for every x…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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Q: Given the function fA(x) = x², g(x) = 3x – 4, find the composite function gof (where gof'means…

A: I have find inverse of f the composition

Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Let x + 1 f(x) x + 9 f-'(- 4) =

A: To find the solution first we have to find the inverse of the given function and then evaluate it at…

Q: The function f(x)=(2-x)/(3) is continuous at

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Q: Let f(x) = 8 - x f-¹(x)

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: f(x) = In (1+x³)

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Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

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Q: Find (f-1)'(9) if f(x)=x3+x-1

A: To detemine the value of the derivative of the inverse function at the given point

Q: Find (f-1)' (a)   f(x)  = √( x3 + x2 + x +1 ) , a= 2

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Q: f(x) |f'(x) | g(x)| g'(x) -4 8 5 -3 10 4 00 3. 3.

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Q: Differentiate f(x) = 4log 3(x)- In (x)

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Q: Let f(x) = ∥x∥. Find out its conjugate function f ⋆ and prove your conclusion.

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Q: (g/f)(x) f(g(x)) g(F(x)) f-1(x)

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

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Q: f(x) = x+3/x-3 concave upward       concave downward

A: Given, f(x) =x+3x-3