A. Find the inverse of function f (x). State the domain of the inverse function f-1(x), if it exist. 1. f(x) = x3 + 5 x² -x-2 2. f(x) = х-2

Q: Show that the function y = f (x) =-2x +4 is one-to-one and find its inverse function.

A: Here function  fx=-2x+4

Q: 05:- Find the inverse function f-1(x) if exists in the following cases:- c) f(x) = 1-

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Q: If g is the inverse function of f(x)   = 2x  + In  x,  find g'(2)

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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: show that the function f(x) = (x − 1)e^x^2 has an inverse, and find (f^-1)' (0).

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Q: 11. Find the inverse of the function f (x)= 3x – 2 4x + 5

A: The solution are next step

Q: Show that f (x) = x³ +1 is one-to-one and find its inverse function f-'(x).

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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: (a) Find the inverse function of f(x) = 2x - 3. f-¹(x) = (b) The graphs of f and f are symmetric…

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Q: (a) Find the inverse function of f(x) = 4x – 4. f (x) +1 1 (b) The graphs of f and f are symmetric…

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Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: b. What would be another acceptable way to restrict the domain of the inverse function?

A: We have, y = sinx  So, x = sin-1(y)

Q: Find the inverse of the function on the given domain. f(x)=(x−13)^2, [13,∞)

A: fx=x-132,[13,∞) Replace fx by y in given equation  So we get  y=x-132 Now interchange x and y…

Q: What is the inverse function of f(x) = 2 + Vx-1? O (x+2) - 1 O (x-2) +1 O (x- 1)2 +2 O (x+ 1)? - 2

A: f(x) = 2+x-1let y = f(x)so , x= f-1(y)Now, y=2+x-1y-2=x-1squaring  O.B.S(y-2)2=(x-1)2 (y-2)2 =x-1

Q: Find the inverse of the function on the given domain.   f(x)=(x−11)^2, [11,∞)

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Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,∞) f-1(x) = =

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Q: 19. Find the inverse function for f(x)=(x-1)°.

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Q: (a) Find the inverse function of f(x) = 2x – 7. f-l(x) = 1 (b) The graphs of f and f are symmetric…

A: Using definition of inverse function,

Q: 2. The inverse of one-to-one function f(x) = 4(3"-) is

A: Given : fx = 43x-1

Q: Find a formula for the inverse of the function. \\ f(x) = f-¹(x) = 1+e 1-e

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Q: (a) Find the inverse function of f(x) = 7x – 8. f-(x) = -1 (b) The graphs of f and fare symmetric…

A: To find the inverse function, swap x and y, and solve the resulting equation for x.

Q: Given f(x)=In(x2 -1)-3 where x<-1, find its inverse function f -1(x).

A: Given that: f(x)=ln(x2-1)-3, where x&lt;-1

Q: If the point in function f(x) has the coordinates (-2, 4), then what would be the coordinate for…

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Q: Q5:- Find the inverse function f-1(x) if exists in the following cases:- a) f(x) =

A: f inverse (x) = 1+ [1/(x^2)]

Q: Find the inverse of the function on the given domain. f(x)= (x-9)^2, [9, infinity) f^-1(x)=

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Q: Illustrate that the functions are inverse functions of each other by sketching their graphs on the…

A: Graph the given functions on the same set of coordinate axes as shown below:

Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,00⁰) f-1(x) =

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Q: 1: Find the inverse function for fx)=Vx+ 2 -1

A: To find the inverse of the function

Q: Find a formula for the inverse function of h(x)=2e3x . Verify that h-1(h(0))=0

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Q: 16. Find the inverse function of f. f(x) = x2 - 3, x 2 0 Then, use compositions of functions to…

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

Q: The function, f(x), is a 1-1 function with Dr: (-0,5] and Rf: (-4,6] U [7, 0). State the domain and…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constantdifferent from zero.b. What can…

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Q: The function f(x) = x - 3 / x - 4 , x ≠ 4, is one-to-one. Find its inverse function.

A: Given: fx=x-3x-4 , x≠4 is one to one function.

Q: Find the inverse of the function on the given domain f(x) = 9 – x2 , [o, ∞)

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Q: The inverse of the function f: R - R defined by f (x) = x2- is

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Q: 4. Find a formula for the inverse of the function. 1-Vx y = 7+Vx

A: Consider the function y=1-x7+x. Interchange x and y and obtain the new equation as x=1-y7+y. Rewrite…

Q: (a) Find the inverse function of f(x) = 6x - 1. f-(2) (b) The graphs of f and f' are symmetric with…

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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: Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse…

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Q: 2х + 3 Find the inverse of the function f(x)= х-4

A: To find the inverse of function f(x),  Put f(x) =y. Switch x and y  Solve for y.  Put in

Q: provided. Find the inverse function of the function f (x) = 2x – 3. - f-1 (x) =

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Q: 4. a) Find the inverse of the following function. f(x) = 2(x – 6)² -

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Q: find the inverse function of f  a) f(x)=3x^3+1  f^-1(x)= b) f(x)=x/x+6 f^-1(x)= c)f(x)=square…

A: Inverse of a function: 1.replce f with y. 2.interchange x and y positions then find the value of y.…

Q: (a) Find the inverse function of f(x) = 4x – 7. f-1(x) = || (b) The graphs of f and f- are symmetric…

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

A: According to the given information, it is required to find the inverse of the given function.

Q: Find the inverse of the function on the given domain. f(x)=(x−6)2, [6,∞)   f^−1(x)=____________

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: Find the inverse of the function on the given domain. f-1 (x) = f(x) = (x - 18)2, [18, ∞)

A: Inverse of function f(x)=(x-18)2 . In the interval [18, infinity) is  f-1(x)= 18+sqrt(x)

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x): =

A: The solution is given in the next step.

Q: If the function f is a one-to-one function and f -is its inverse function, then if x is in the…

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Q: (a) Find the inverse function of f(x) = 4x – 4. f-(x) = (b) The graphs of f and f- are symmetric…

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