Question

Find a formula for the inverse of the function. $f(x)=3-2 x$

   Find a formula for the inverse of the function.
$f(x)=3-2 x$

Calculus

James Stewart 7th Edition

Chapter 6, Problem 23

Instant Answer

Solved by Expert Sheryl Ezze

11/08/2020

Step 1

Let's start by setting y = f(x). y = 3 - 2x Show more…

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Find a formula for the inverse of the function. $f(x)=3-2 x$

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Key Concepts

Inverse Functions

An inverse function reverses the effect of the original function. It is defined such that when you apply the function and then its inverse (or vice versa), you return to the original value. This concept is central in various branches of mathematics and is used to 'undo' the operations of a function.

Algebraic Techniques for Finding Inverses

Finding the inverse of a function typically involves replacing the function output with a variable, interchanging the roles of the input and output variables, and then solving the resulting equation for the new output variable. This process relies on algebraic manipulation methods such as isolating terms and rearranging equations.

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