Question

Find the inverse of the following function.
f(x) = 5√x/5

Answer 1

Explanation:

well if you ment

`5 \sqrt{ (x)/(5) }`

then the inverse is:

`y = 5 \sqrt{ (x)/(5) } = = > {y}^(2) = 25( (x)/(5)) = = = > \\ {y}^(2) = 5x = = = > \frac{{y}^(2) }{5} = x = = = > \\{f}^( - 1) (x) = \frac{ {x}^(2) }{5}`

and if you ment

`5 ( √(x) )/(5 )`

then the inverse is:

`y = 5 ( √(x) )/(5) = = = > y = √(x) = = = = > \\ {y}^(2) = x = = = > \\ {f}^( - 1) (x) = {x}^(2)`