B. Find the inverse of the following functions algebraically. Is the inverse a function?   Why or why not? y = x2 - 1, x < 0

Q: Find a formula for the inverse of the function.  f(x) =  x 2  - x ,            x &gt; =1/2

A: Given function:

Q: Determine whether the function f(x) = √(x − 2) has an inverse function. If it does, find the inverse…

A: given,        fx=x-2

Q: Determine whether the function has an inverse function. f(x) = (x + 4)2, x2 -4 O Yes, f does have an…

A:

Q: Find the inverse function of f. f(x) = x6, x ≥ 0

A: A function is a relation between set of input values and the output values. For the given function,…

Q: Find the inverse of the function f (x)= \x-2.

A: To find the inverse of the function,  Let y=f(x) Therefore, x=f-1(y) Substitute y in place of f(x)…

Q: The function f(x) = (x +4)% is one-to-one. Find an equation for f'x), the inverse function.

A: Steps for finding the inverse of a function f(x) : Check if the function is one- one. Replace f(x)…

Q: Find the inverse function of f.

A: Solution:Givenf(x)=x2+x,    x≥-12To find the inverse of the function:

Q: Find the inverse of the function f(x) f(2) =

A:

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: What is the inverse of the function h(x): x + 4? h-1(x) = |

A:

Q: A function and its inverse will reflect each other across the line y = x O True

A:

Q: 1. Find the inverse of the following function: y = 241 2.x-1 Is the inverse a function?

A:

Q: The function f(x)= (x+6)° is one-to-one. -1 Find an equation for f '(x), the inverse function.

A: We can find the inverse function as below.

Q: Are these functions inverses of each other? f(x) = 3x - 12 g(x) = 1/3 x + 4 yes or no ? if f(x) = x³…

A:

Q: Consider the function:  f(x) = 2x  and find its inverse.

A: Given function:

Q: Find a formula for the inverse of the function. y=6-e-x / 6+e-x

A: To find inverse of y=f(x) solve for x=f(y) and swap the variables.

Q: 9) Find the inverse of the function f(x) ="," algebraically. Change f o y Switch x and y- Solve for…

A:

Q: Find the inverse function of f.

A: Given : fx = xx+4

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

A:

Q: What is the inverse of the following function? 3 y = x-2

A: Given: y=3x-2 We assume,y=f-1x ⇒y=3x-2⇒yx-2=3⇒xy-2y=3⇒xy=2y+3⇒x=3+2yy⇒f-1=3+2xx

Q: Determine whether or not the function is one-to-one, and if it is, determine its inverse function.

A:

Q: Find the inverse function of f.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Find the inverse of the function: f (x) = 4x

A:

Q: Determine whether the function f(x) = x4 has an inverse function. If it does, find the inverse…

A:

Q: Show that the following functions are inverse functions? x-2 y = (2-x)2

A: Given function is  y=x-22-x2find the inverse

Q: (a) For a function to have an inverse, it must be  ---Select--- two-to-one one-to-one one-to-two .…

A:

Q: Determine whether the function f(x) = √(2x + 3) has an inverse function. If it does, find the…

A: Finding the Inverse of a Function Given the function f(x) we want to find the inverse function,…

Q: The function f(x) = x + 3 is one-to-one. Find an equation forf1x), the inverse function.

A: Let  y=x3+3 Change the subject of the equation to x x3=y-3x=y-33

Q: Find a formula for the inverse of the function. y = e6 - x

A:

Q: The function f(x) = 3x + 1 is one-to-one. Find an equation for f'(x), the inverse function.

A: Given, f(x)=3x+1

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

A:

Q: Find the inverse function. A=f(r)=pi(r)^2, r>=0. How do you know that the function you found is the…

A: Steps to find the inverse of a function: 1) The first step is to replace f(x) with y. 2) Replace…

Q: to convert from x degrees Celsius to y degrees Fahrenheit, we use the formula f(x)=9/5x+32. Find the…

A: To find the f-1(x).

Q: The function f(x) =x°-8 is one-to-one. Find an equation for f(x), the inverse function. - 1

A: Given f(x) = (x3 - 8) = y. f(x) = y. Now to find the inverse Replace x with y and y with x. (y3- 8)…

Q: Find a formula for the inverse of the function. y =. 1+ 6e* f-1(x)

A: Given: y=ex1+6ex For finding inverse of given function, first we find x in terms of y then replace x…

Q: - Find the inverse of the function: f(x) =

A:

Q: Determine whether the function has an inverse function. f(x) = Vx - 7, x27 %3D O Yes, f does have an…

A: Given function f(x)=x−7,   x≥7

Q: Show that the following functions are inverse functions? 1- Vã y = x/2 – 4x/2 + 16vã , x2 4 2. y =…

A: Given that the functions are      1. √x y = x5/2 -4x3/2 +16 √x      2. y = (x-2)/(2-x)2 Here we have…

Q: Show that the following functions are inverse functions? 1- Vã y = v/2 – 4x/2 + 16vx , x>4 |

A: Inverse of a function : A function g is said to be the inverse of f if for,  y=f(x) and x=g(x) To…

Q: Find out if the function has an inverse. If so, find (f^-1)'(1):

A: (a) fx=lnx (b) fx=ex+x3+5x To Find: If the function has an inverse. If so we have to find f-1'1.

Q: For the given function find an equation for the inverse function f-1(x).  f(x)=3x-1

A: To find out the inverse of the function given.

Q: Find the INVERSE of your function (algebraically), and state whether the inverse is (a) a function…

A: The given figure is the figure of a circle and the equation of the given circle is  x2+y2=42…

Q: Find the inverse function of f. f(x): = -64, X>0

A: To find the inverse of a function f(x) : Rewrite f(x) as y Switch x and y  Solve for y

Q: 1. Find a formula for the inverse of the function and show that ff'(x))=f'({x)). 4х-1 a. y= V10-3x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Determine whether the function has an inverse function. q(x) = (x – 11)2 O Yes, f does have an…

A: Our objective is to check whether the function has inverse or not.

Q: bes f(x) = |x + 3[have an inverse function? Why or why no

A: It will have following conditions

Q: Consider the function:  f(x) = 4x  and find its inverse.

A: Given function:

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

A:

Q: Q: If f(x) = 2x3 – 1 and g(x) = Vx+1 find the following: - a) Show that the functions are inverse…

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