Question

The function f(x)=(1)/(3)x-5 is one -to-one (a) Find the inverse of f. (b) State the domain and ranqe of f.

Answer 1

Explanation:

`f(x) = (1)/(3) x - 5`

`y = (1)/(3) x - 5`

`x = (1)/(3) y - 5`

`x + 5 = (1)/(3) y`

`3x + 15 = y`

`3x + 15 = f {}^( - 1) (x)`

The domain of the inverse is the range of the original function

The range of the inverse is the domain of the original.

This the domain and range of f is both All Real Numbers