Question

The function f(x) =

- 3x - 4/x-2
is a one to one function. Find:
ii.State the domain and range of the function and it’s inverse.

Answer 1

`(-3x-4)/(x-2)`

Domain: (-∞, 2) ∪ (2, ∞)

Range: (-∞, -3) ∪ (-3, ∞)

For inverse, solve
`x=(-3y-4)/(y-2)` for y.

inverse:
`y=(-4+2x)/(x+3)`

Hope this helps!