2 Answers | Add Yours
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` .
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 319,824 questions. We can answer yours, too.Ask a question