The following function is one to one.  Find the inverse.  Find the domain and range of f and f^-1 f(x)=8x-8

2 Answers | Add Yours

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to write the function such that: `y = 8x - 8` .

You need to write the function in terms of x to find its inverse such that:

`8x = y + 8 =gt x = (y+8)/8`

Hence, the inverse to function f(x) is `f^(-1)(x) = (x+8)/8` .

Since the equation of the inverse function holds for each real value of x, hence the domain of inverse function is the real set R and the range is also R.

Hence, the real set R stands for domain and the range of the inverse function `f^(-1)(x)=(x+8)/8` .

jebjeb's profile pic

jebjeb | eNotes Newbie

Posted on

The key point above was the exchange of x with y.

This inverts the function (and the plotted line).

(some "reliable" sources get inverses wrong, such as treating

temperature conversion "converse forms" as inverse functions)

We’ve answered 318,044 questions. We can answer yours, too.

Ask a question