chasityl504 chasityl504
  • 09-10-2017
  • Mathematics
contestada

What is the inverse of the function f(x) = 2x – 10?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-10-2018

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

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