Inverse of a function y=4x-3,y=2/(x-5) Example-1

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Home > Algebra calculators > Inverse of a function example

3. Inverse of a function example ( Enter your problem )

( Enter your problem )

$y=4x-3$ , $y=2/(x-5)$ Example-1
$y=x^2+4$ , $y=(x-4)/(x+4)$ Example-2

Other related methods

2. Range of a function
(Previous method)

$y=x^2+4$ ,

$y=(x-4)/(x+4)$ Example-2
(Next example)

1. $y=4x-3$ , $y=2/(x-5)$ Example-1

1. $y=4x-3$ , find Inverse of a function

Solution:

$y=4x-3$

Replace all x with y and y with x.

$x=4y-3$

Now, Solve

$x=4y-3$ for y

Interchange sides

$=>4y-3=x$

$=>4y=x+3$

$=>y=(x+3)/4$

2. $y=2/(x-5)$ , find Inverse of a function

Solution:

$y=2/(x-5)$

Replace all x with y and y with x.

$x=2/(y-5)$

Now, Solve

$x=2/(y-5)$ for y

Interchange sides

$=>2/(y-5)=x$

$=>(y-5)/2=1/(x)$

$=>(y-5)=1/x xx 2$

$=>y-5=2/x$

$=>y=2/x+5$

This material is intended as a summary. Use your textbook for detail explanation.
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