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- Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.To find the inverse of a function, you switch the inputs and the outputs. Example: Let's take f (x) = (4x+3)/ (2x+5) -- which is one-to-one. Switching the x's and y's, we get x = (4y + 3)/ (2y + 5). Solve for the new "y."www.wikihow.com/Find-the-Inverse-of-a-FunctionLet f (x)=y so y=2x+5 then rearrange for x so x= (y-5)/2 Now swap the subject for f (x)^-1 and the y for x. f (x)^-1= (x-5)/2 You can check the answer by substituting in a value for x, example x=3 f (3)=6+5=11 Then put the answer of that into the inverse equation, and you should receive the first...socratic.org/questions/what-is-the-inverse-of-the-fu…
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What is the inverse function of f(x) =2x-5? - Socratic
Q:What is the inverse function of $$ f(x) =2x-5$$?A:$$y =f^-1 (x)= 1/2 (x+5)$$ Explanation: Write y= 2x-5 and now interchange x and y. It becomes x= 2y-5. Now solve for $$y =f^-1 (x)= 1/2 (x+5)$$How do you find the inverse of f(x) =2x-5? - Socratic
Q:How do you find the inverse of $$f(x) =2x-5$$?A:$$f^-1(x)=1/2(x+5)$$ Explanation:What is the equation for the inverse relation of #y= 2x-5#?
Q:What is the equation for the inverse relation of $$y= 2x-5$$?A:The inverse is $$(x+5)/2 =y$$ Explanation: In order to find the inverse relation for the equation $$y=2x-5$$ begin by switching the $$x$$ and $$y$$ variables and then solve for the $$y$$ …How do you find the inverse of f(x) =2x-5 and is it a function ...
Q:How do you find the inverse of $$f(x) =2x-5$$ and is it a function?A:If y = f(x), the inverse-function definition is x = $$f^(-1)(y)$$. Here, it is x = $$(y+5)/2$$..-, Explanation: In general, the relations governing f and its inverse $$f^(-1)$$are $$f^(-1)f(x)=x$…How do you find the inverse of f(x) =2x-5? - Socratic
Jun 17, 2015 · Let #y=f(x)# then #x=f^(-1)(y)# and #y=2x-5# Rewriting #y+5=2x# which implies #x=f^(-1)(y)=(y+5)/2#
How do you find the inverse of each of y=2x-5 and graph them
Jun 26, 2018 · To find the inverse, swap the #x# and #y# and then make #y# the subject. #y=2x-5# swap #=> x=2y-5# #x+5=2y# #[x+5}/2=y# is the inverse. To plot either graph draw up a …
What is the inverse function of #f(x)=(2x+5)/(5x-3)#? - Socratic
Explanation: For ease of manipulation replace f (x) with y. y = 2x + 5 5x − 3. → XX5xy − 3y = 2x + 5. → XX5xy − 2x = 3y + 5. → XXx(5y −2) = 3y +5. For the inverse function (which I will write …
How do you find the inverse of #f(x)=sqrt(2x+5)#? - Socratic
Nov 9, 2017 · Explanation: y = √2x + 5. First, we switch the x s and y s to get x = √2y + 5. Now, we must rearrange to make y the subject: x2 = (√2y + 5)2 = 2y +5. x2 −5 = 2y. y = x2 − 5 2.
What is the inverse of the function f (x) = 2x – 10? - Socratic
Apr 3, 2018 · Explanation: f (x) = 2x −10 → Replace the f (x) with y. y = 2x − 10 → Switch the places of the x and the y. x = 2y − 10 → Solve for y. x + 10 = 2y. y = 1 2x + 5. The inverse is f …
What is the inverse of g (x)=2x−5? - Socratic
g−1(x) = 1 2 (x + 5) Explanation: g(x) = y = 2x − 5. rearrange making x the subject. 2x = y + 5. ⇒ x = 1 2 (y + 5) ⇒ g−1(x) = 1 2(x + 5) ← express in terms of x. Answer link.
How do you find the inverse of # x - 2y = 5# and is it a function?
Apr 7, 2018 · x − 2y = 5. y = 1 2x − 5 2. To find the inverse of this we express x as a function of y: x − 2y = 5. x = 2y + 5. Substituting: y = x. y = 2x + 5. f −1(x) = 2x + 5.
How do you find the inverse of f(x)= 2x +3? - Socratic
Mar 24, 2018 · Now, the inverse of a function is just writing x in terms of y. So f (x) = 2x +3 becomes y = 2x +3. y = 2x + 3 becomes y − 3 = 2x. y − 3 = 2x becomes y − 3 2 = x. or x = y …
What is f^-1(3) when f(x) = (2x + 3) / 5? - Socratic
Jan 25, 2016 · To find the inverse function. Change the subject to x. let y = f (x) then y = 2x +3 5. hence 2x + 3 = 5y and x = 1 2(5y − 3) ( This enables x to be found when y is known ) in terms …
How do you find the inverse of #y=2x-4# and is it a function?
Jun 20, 2016 · inverse: y = x + 4 2. which is a function. Explanation: If y = 2x −4. then. XXXy + 4 = 2x. and. XXXx = y + 4 2. Remember that x and y are arbitrary place holders and we could …
How do you find the inverse of f (x)=x^2+2x-5 and is it a ... - Socratic
Jul 20, 2016 · #f(x)=x^2+2x-5=x(x+2)-5#, so that, #f(0)=-5=f(-2)#, meaning that #f# is an #m-1# or, a #many-to-one# and not a #1-1# function. Hence, #f^1# does not exist.
How do you find the inverse of f(x)=3x-5? - Socratic
Apr 17, 2018 · The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in a equation. y = 3x − 5 turns into x = 3y − 5. …
How do you find the inverse of f(x)= x^5+x^3+x? - Socratic
Jul 3, 2015 · Explanation: In general quintic equations are not solvable by radicals. The inverse of f (x) = x3 +x is tricky enough: Using Cardano's method, we can find that. f −1(y) = 3√ 9y +√3y2 …
How do you find the inverse of f (x) = (2x-1)/ (x-1) and is it a ...
May 14, 2016 · Determining Whether the Inverse Function Is a Function. Graphically, f −1(x) = −x + 1 2 −x would look like: graph { (-x+1)/ (2-x) [-10, 10, -5, 5]} In the graph above, you can see …
How do you find the inverse of h(X)= 5 / (2x - Socratic
Mar 20, 2016 · #h^-1(x) = (5 - 3x)/(2x)# Here are a few things to remember when finding the inverse of a function: The y must be isolated (all alone on one side of the equation).
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