Question

If f(x) = 5x – 1, then f^-1(x)=

Answer 1

`\boxed{\sf \ \ \ f^(-1)(x)=(x+1)/(5) \ \ \ }`

Explanation:

hello

f(x)=5x-1

what can we say about
`f^(-1)(x) ?`

`(fof^(-1))(x)=x=f(f^(-1)(x))=5f^(-1)(x)-1`

so

`5f^(-1)(x)-1=x\\<=> 5f^(-1)(x)-1+1=5f^(-1)(x)=x+1 \ \ \ add \ \ 1\\ <=> f^(-1)(x)=(x+1)/(5) \ \ \ divide \ \ by \ \ 5`

hope this helps