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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