Given the function f (x) = 3 (x – 5) + 8, which of the following represents f-1 (x)?

The inverse function of f(x) is

The function is given as:

Replace f(x) with y

Swap the positions of x and y

Subtract 8 from both sides

Divide both sides by 3

Add 5 to both sides

Rewrite as:

Replace y with the inverse function

Hence, the inverse function of f(x) is

Read more about inverse functions at:

link

Given:

To find:

The inverse of given function

Solution:

We have,

Put f(x)=y.

Interchange x and y.

Isolate y on one side.

Put .

Therefore, the required inverse function is .

its B

Step-by-step explanation:

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