Let F(x) =760e-X7 and 760€ grx) that frx) and grx) = -71nrx/760 Show -7ln(x/760). Show %D grxd are inverse functionsS

Q: 3a.

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Q: (a) If f(x) = V3 – x, find the inverse function f. %3D

A: Topic = Functions

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

Q: Find the inverse function of f(x) =1+ V8+ x

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Q: Let (-x² when x 0 (a) Is f increasing? (b) Does f have an inverse? If so, what is it?

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Q: Let f(x)=x+4/x+8 f^-1(−7)=   the f^-1 just means inverse function

A:

Q: Find the domain of the function. f(x) = ln(x^2 + 1)

A: Definition used:The domain of a function is the complete set of possible values of the independent…

Q: Find f'(x) for f(x) = ln(3x² – 5x + 6). f'(x) = Preview

A: f(x)=ln3x2-5x+6f'(x)=ddxln3x2-5x+6f'(x)=13x2-5x+6ddx3x2-5x+6  [chain…

Q: Let f(x)=xlnx+x. If f'(x)=0, solve for x. Round your answer to 4 decimal places.

A: So,  Given        fx = x lnx +x       f'x = ln x + xx+                = ln x +1  + 1…

Q: (b) Find a formula for the inverse of the functiony= e2x-1,

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

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is…

Q: Find the inverse function of f(x) F(x)= 3x+1

A: Inverse of a function can be found by replacing x with y and vice versa in the definition of the…

Q: nd the inverse function of f. (x) = x2 -1(x)=

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Q: calculate the value of k, when the inverse function of y = 3 ^ x is y = k × ln (x).

A: To finding the inverse we use the logarithmic properties

Q: Find f′(x). f(x)=5x4 ln x

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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: In the given question , show that f and g are inverse functions (a) analytically and (b)…

A: Given: fx=3-4xgx=3-x4……1

Q: If f(x) = 2x + ln x, find f-1(2).

A: The function is given as fx=2x+ln x......(1) The value of f(x)=2.......(2) Equate the equation (1)…

Q: Find the inverse function f-1(x) if f(x) =x +5.

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Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

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: Let f (x) = log10 (15x²) + 22*. Find the derivative of f. f'(x) =

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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: Find the inverse function of y = (2x-1) (x-1) fx) = -1) 2x f(x) =2* fx) = (x+1) 2x (х-1) fx) = (x+1)…

A: Inverse of the function

Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: Let f(x) = 4 −(1/3)x3 . Determine the derivative (f -1)'(x) of the inverse function to f.

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Q: Let f(x) = 4 – x³. Determine the derivative (f-1)'(x) of the inverse function to f.

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

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Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: Find f''(x) for: f(x)=ln⁡x/4x

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

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Q: Find the inverse function of f(x) f'(x) = v8x +7.

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Q: 3. ay Find the inverse of f(x) =x+1 and name a coordina

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Q: Find the inverse function of f. (x) = X x + 4 f-1(x) =

A: Explanation of the answer is as follows

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: Suppose that y varies inversely with x, and y=12 when x=4. Fine y when x=3

A: Two quantities are said to be proportional or inversely proportional, if one quantity increases, and…

Q: Find the inverse function of f. f(x) =  7x − 8 9x + 1 f −1(x) =

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Q: Find  f' in terms of g' .

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Q: Let f(x)=ln(x). What is f'(x) when x=3.9?

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Q: Find f'(x) for f(x) = ln (5x + 2x + 7). Preview %3D

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Q: Suppose ƒ is an even function and Evaluate

A: Given f is an even function, ∫-88f(x)dx=18

Q: Find the inverse function of f.

A:

Q: Find the inverse function, f (x) for f (x) = %3D x+2

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Q: Use logarithmic differentiation to evaluate f'(x). (x + 4)8 f(x) = (3x - 3) f'(x) =|

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Q: Use the second derivative to determine f"(3) for the function f(x) = x² In (x) 2ln(3) +2 O 3ln(2) +3…

A: topic - derivatives

Q: f(x) = x² is inverse function on integer number?

A: The inverse is f-1(x) = √x