durgaashinee2117 durgaashinee2117

22-05-2020
Mathematics

contestada

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.

Respuesta :

RaneKillingsworth RaneKillingsworth

22-05-2020

[tex]\frac{-3x-4}{x-2}[/tex]

Domain: (-∞, 2) ∪ (2, ∞)

Range: (-∞, -3) ∪ (-3, ∞)

For inverse, solve [tex]x=\frac{-3y-4}{y-2}[/tex] for y.

inverse: [tex]y=\frac{-4+2x}{x+3}[/tex]

Hope this helps!

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