Respuesta :

TheAakash

To find an inverse, we can follow these steps:

  1. set f(x) equal to y.
  2. solve for x
  3. switch the x and y
  4. set y equal to f^-1 (x) and you have your answer.

Let's follow these steps:

[tex]f(x) = 7x+12=y[/tex]

[tex]y = 7x+12[/tex]

[tex]y-12=7x[/tex]

[tex]x = \frac{y-12}{7}[/tex]

Now, we switch the y and the x:

[tex]y = \frac{x-12}{7}[/tex]

And set that equal to f^-1(x). Therefore, your answer is:

[tex]f^{-1}(x) = \frac{x-12}{7}[/tex]

Hope I could help you Jermaine! :)

Alissonsk

To find the inverse function we must admit that f(x) = x and x = y. That is

[tex]\mathsf{x=7y+12}[/tex]

Now, we need to isolate the y

[tex]\mathsf{7y=x-12}\\\\\\\mathsf{y=\dfrac{x-12}{7} }[/tex]

Like this

[tex]\mathsf{f^{-1}(x)=\dfrac{x-12}{7}}[/tex]

Hope this helps, good studies.

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