Question

Find the inverse of f(x)=1/x−3

Answer 1

Answer:
`\bold{y=(1)/(x)+3}`

Explanation:

Inverse is when you swap the x's and y's and solve for y

`y=(1)/(x-3)\\\\\\\underline{\text{Swap the x's and y's}}\\x=(1)/(y-3)\\\\\\\underline{\text{Take the reciprocal of both sides}}\\(1)/(x)=y-3\\\\\\\underline{\text{Add 3 to both sides}}\\(1)/(x)+3=y`