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Which function is the inverse of f(x)=9x-3

Sagot :

Umbreon808idn

Answer:

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Step-by-step explanation:

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The inverse function is [tex]f^{-1} (x)[/tex]=(x+3)/9.

The given function is f(x)=9x-3.

How to find the inverse of a function?

Steps for finding the inverse of a function f(x).

  • Replace f(x) with y in the equation describing the function.
  • Interchange x and y. In other words, replace every x with a y and vice versa.
  • Solve for y.
  • Replace y with [tex]f^{-1} (x)[/tex].

Now, y=9x-3

Interchange x and y. That is x=9y-3.

Solve for y.

That is, 9y=x+3

⇒y=(x+3)/9

⇒[tex]f^{-1} (x)[/tex]=(x+3)/9

Therefore, the inverse function is [tex]f^{-1} (x)[/tex]=(x+3)/9.

To learn more about the inverse function visit:

https://brainly.com/question/19755382.

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