riverashawntino riverashawntino
  • 08-05-2021
  • Mathematics
contestada

find the inverse of the function
f (x) = 15 + sqrt 5x - 5

Respuesta :

Аноним Аноним
  • 08-05-2021

[tex]15 + \sqrt{5x - 5} = f(x)[/tex]

Replace y for x and vice versa

[tex]15 + \sqrt{5y - 5} = x[/tex]

Solve for y.

[tex]15 + 5y - 5 = {x}^{2} [/tex]

[tex]15 + 5y = {x}^{2} + 5[/tex]

[tex]5y = {x}^{2} - 10[/tex]

[tex]y = \frac{ {x}^{2} - 10 }{5} [/tex]

[tex]f {}^{ - 1} (x) = \frac{ {x}^{2} - 10 }{5} [/tex]

If

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