The inverse of any function is a function

Q: Determine whether the function is one-to-one. If it is, find its inverse function. f(x) = −3

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Q: Determine whether the function g(x) = (x + 1)/6 has an inverse function. If it does, find the…

A: The given function is g(x)=x+16

Q: Use the Inverse Function Property to show that f and g are inverses of each other.

A: A function is a relation between set of input values and the set of output values. The composite…

Q: Draw the graph of the inverse of the function below.

A: Given graph is  straight line passing through 0,-2,1,1 Equation of a line: y=mx+c where c is y -…

Q: Every function has an inverse function.       True or false

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Q: Determine whether the function is one-to-one. If it is, find its inverse function. f(x) = ax + b,…

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Q: find the inverse function. Show all work. f(x)= 2/x-3

A: The given function is,

Q: The graph of the inverse of a function is a ___________ of the graph of the functionabout the line…

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Q: Find the inverse function of f.

A: Given function f(x) - f(x) = log6x+1Let f(x) be y - y = log6x+1For finding f-1(x) of any function,…

Q: Determine whether the given function is one-to-one. If it is one-to-one, find its inverse. f(x)

A: draw the graph of the given function and a horizontal line on it as shown below. From above figure,…

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

A: Solution: Consider the given function is : g(x) = -x2  when x<0x2     when x ≥0 To check whether…

Q: Find the inverse of the function.

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Q: Determine whether the function is one-to-one. If it is, find its inverse function.

A: we have to determine whether the given function is one to one or not. and if it is one to one we…

Q: f (4) = |² – 3| + 7

A: The solution of the problem is given in the next step.

Q: For Exercise, the graph of a function is given. Graph the inverse function. "y = f(x)*

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse.

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Q: f-(x) is the inverse function of f (x), find f-(125).

A: To find the Inverse of a function f-1(x)

Q: Is the inverse of a function always a function

A: Is the inverse of a function always a function

Q: Find the inverse function of: f(x)=x^(5)+2/x^(5)-6

A: Given f (n) =x5 + 2                        X5 -6 Let, f (x)= y, f (y) =x Therefore y = x5 + 2…

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

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Q: Determine whether the function f(x) = x3 + 8 has an inverse function. If it does, find the inverse…

A: Determine whether the function f(x) = x3 + 8 has an inverse function.

Q: Determine whether the function p(x) = −4 has an inverse function. If it does, find the inverse…

A: A function is a relation which maps each value in its domain to exactly one value in its range. So…

Q: The inverse of the function f(x) 1 -x + 8 is ƒ-1(x) = 10 O 10(x – 16) O 20(x – 8) 70(x – 8) О 50(х —…

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Q: HIverse lu ..... 4IDIGGO. O A. O B. C. O D.

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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: Does the function below have an inverse? Explain.

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Q: Use the graph of the function to sketch the graph of its inverse function y = f −1(x).

A: Graph of the function is given, we have to sketch the inverse function.

Q: The inverse function of f is denoted by ________.

A: The inverse function of f is denoted by f-1.

Q: Determine whether the function is one-to-one. If it is, find its inverse function. f(x) = ∣x − 2∣, x…

A: Givenfx=|x−2|,x≤2

Q: Find a function algebraically for the inverse of the given function.

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Q: Show that the functions are inverse functions of each other.                                  f(x) =…

A: Given: f(x)=2x3−1g(x)=x+123

Q: Find the inverse function of f(x) = (1/3)x + 4 and specify its domain.

A: The given function is fx=13x+4. Since the above function is defined for all real values of x, the…

Q: a) f(x) =x³ + 9

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Q: Give the inverse form of the given function

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Q: Find the inverse function of g(x)=(x+2)³ 3

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Q: Explain why only one-to-one functions have inverses that are also functions.

A: We know that a function f:A→B is a special type of relation. We are interested in getting the…

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: 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: Consider the function f(x)=1000x3. If f−1(x) is the inverse function of f(x), find f−1(125).

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Q: Use the Inverse Function Property to show that f(x) is the inverse of x - 2 g(x)

A: We have to prove that fx=1x-2 is the inverse of gx=1x+2 by using inverse function property. We know…

Q: Find the inverse of the function and graph both the function and its inverse.

A: We have to find the Inverse of the given function.

Q: Determine whether the given function is one-to-one. If it is one-to-one, find its inverse. f(x) = +…

A: Given function is fx=x3+2

Q: Use the graph of f to draw the graph of its inverse function.

A: We have to graph the inverse of the function f by using the graph of the funciton.

Q: Determine the inverse of f(x) = ( x - 1 )^2 + 2,  is this inverse a function and why, give domain…

A: The inverse  function  is  y = (x-1)^2+2 or,  y-2=(x-1)^2 Or, ((y-2))^(1/2) = x-1 Or, x= 1+(…

Q: For Exercise, the graph of a function is given. Graph the inverse function. f(x). क

A: Given:

Q: Use the graph of the function to sketch the graph of its inverse function y = f-1(x). У 5- 3- 2- -5…

A: To find the graph of the inverse function we have to reflect the given graph about the y=x line

Q: Prove that if a function has an inverse function, then the inverse function is unique.

A: Given function has an inverse function