Verify that f(x) = x 3 + 3 and g(x) = (x - 3)1/3 are inverses by showing that f(g(x)) = x and g(f(x)) = x.

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

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Q: За + 1 Find the inverse of f(x) : - x + 2 f-'(x) =

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Q: 6-10x Find the inverse function for f(x) = 8x+7 and verify your inverse by computing hoth of…

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Q: Find a formula for the inverse of the function. y = In(x + 3)

A: y=lnx+3

Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

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Q: Find the inverse function of the function f(x)= 3x3 on the domain x > 0.

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Q: Find the inverse function of y = 1/(2x - 1). a. f-1(x) = 2x/(x + 1) b. f-1(x) =( x + 1)/2x c.…

A: Given function,  f(x)=y=12x-1

Q: Show that the function f (x) =1- x is bijective and also find its inverse function.

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Q: 6-10х Find the inverse function for f(x) 8x+7 and verify your inverse by computing both of…

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Q: Find the inverse of f(x)=2x+1. Show your work (Non-anonymous questionO)

A: f^(-1) (x) = (x-1)/2

Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: 10. Determine whether g(x) = 3x – 6 and f(x)= x+2 are inverse functions. 3

A: we have to determine whether g(x)=3x-6  and f(x)=13x+2 are inverse functions.

Q: Verify graphically that the functions f(x) = 2x – 3 and g(x) = }(x + 3) : are inverse functions of…

A: Explanation: Given that,  f(x)=2x-3g(x)=12(x+3)       Concept Used: We know that , In case of…

Q: What is the inverse function of f(x) = x- 2 2x f-'(z) = - (z) = I- 2 f (2) = 2x f (x) = r - 1

A: Replace f(x)by x and x by y than solve for y.

Q: 30. Find the inverse function of f(x) = -x² + 8x – 14 if x < 4. Find the domain of this inverse…

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Q: Find the second derivative of x3 – 5x2 + x = 0. Зx2 -10х Зх + 10 WXWX XWXW 10х - 5 бх - 10 XXXX wwww

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Q: Verify the inverse function theorem of the function y = 4x2 +4x + 9.

A: Solution is given below:

Q: Verify if f (x) = x-3 and g(x) = 5x 3 are inverses.

A: They are inverse function

Q: 3. Find the rule for the inverse of f(x) = X +1

A: Inverse of functions is given.

Q: Find the inverse function of

A: Given function: fx=x+12x+1

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: Find the inverse f- (x) of the function f (x) = 7x + 4, %3D of (x) = 4x – 7 - 4 f-1 (x) 7 x + 4 '…

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Q: Find the inverse for f(x) = 12x + 2 f-(x) g(x) = 7x³ – 15 - g-1(x) 12 h(x) x + 15 h- (x) = j(x) = Va…

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Q: Find the inverse of the function on the given domain. f(x)=(x−10)2 , [10,∞)

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Q: What is the inverse function of f(x)= 5x+1 and g(x)= x-1?

A: Given the functions:

Q: Find the inverse of f (x) = %3D f"(x) = 4 – x f-'(x) = 7x – 4 f-' (x) = 4x – 7 f-'(x) = 4 (x – 7)

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Q: Use the Product Rule to find the derivative of the function. g(x) = (x2 - 2x + 5)(x³ - 6) g'(x) =

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Q: Find the third derivative of the function f(x)=2x^(5)-6x^(4)+7x^2-9x+20

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Q: 2х — 1 - Find the inverse of f(x) х — 4 - f-(x) = |

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Q: Verify that f and f-1 are inverses f(x) = (ex+1)/(2-ex) f-1(x)= ln ((2x-1)/(1+x))

A: Given information:The given function is f(x) = (ex+1)/(2-ex).

Q: Find the second derivative of the function.       f(x) = x2 + 3x−3

A: Given: fx=x2+3x-3

Q: f(x)=3x+4x−1 .  Find the inverse function, f-

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Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: Find the inverse function of f. x – 2 f (x) = x + 2 f-1 (x) =

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Q: Find the inverse of the function f(x) = – 5x² . f-'(x) = The domain of ƒ-' is

A: Solution:- let f(x)=y

Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

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Q: Find the inverse of the function f(x)=In(1-2x) +3. %3D

A: We need to find the inverse of the function : f(x) = 1/2 ln(1-2x) +3

Q: Let f(x)=4-1/3x^3. Determine the derivative (f^-1)'(x) of the inverse function to f.

A: Derivative of inverse function is

Q: b) Verify that f(x) = 5x – 1 and g(x) = x+1 are inverse functions. 5 %3D

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Q: Find the inverse of the function. h(x) = 2x h-¹(x) =

A: Let, h(x)=y=2x

Q: Find the inverse of g(x) = x2 - 3 for x &gt;= 0.

A: Find the inverse of g(x) = x2 - 3 for x &gt;= 0.

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: . Let f (x) = x* + 3x – 2, and let g(x) denote the inverse of f. Then g'(2) is equal to:

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Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

A: To sketch the graph of the function f(x) and determine the value of the derivative of inverse of the…

Q: Compute the derivative of g(x)=(x5-2x4+7)/x2

A: Derivative of function

Q: Find the inverse function. y = (In x)5 f-1(x) II

A: