christophersan christophersan
  • 22-01-2019
  • Mathematics
contestada

Given that f(x) = 4x+1/3, solve for f^-1(3)

Respuesta :

MrGumby
MrGumby MrGumby
  • 23-01-2019

Answer:

The value is 2/3

Step-by-step explanation:

In order to find this, we first need to find the inverse of the equation (f^-1). To do this, switch f(x) and x and then solve for the new f(x).

f(x) = 4x + 1/3

x = 4f(x) + 1/3

x - 1/3 = 4f(x)

1/4x - 1/12 = f(x)

f^-1(x) = 1/4x - 1/12

Now that we have the inverse function, we simply need to plug in 3 for x and we get the value we are searching for.

f^-1(x) = 1/4(3) - 1/12

f^-1(x) = 3/4 - 1/12

f^-1(x) = 9/12 - 1/12

f^-1(x) = 8/12

f^-1(x) = 2/3

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