Question

Math question

Answer 1

@Michele_Laino So I think it is B or D?

Answer 2

like in the prvious exercise,we start from this formula:
\[y = \frac{1}{{x - 2}}\]
and we have to express \(x\) as a function of \(y\)

Answer 3

previous*

Answer 4

So x = 1/y-2 ?

Answer 5

taking the inverse of both sides, I get:
\[x - 2 = \frac{1}{y}\]
now, if I add \(2\) to both side I get:
\[x - 2 + 2 = \frac{1}{y} + 2\]
please simplify

Answer 6

x=1/y+2

Answer 7

correct! Now I change \(x\) with\({f^{ - 1}}\left( y \right)\), so I write this:

\[{f^{ - 1}}\left( y \right) = \frac{1}{y} + 2\]

Answer 8

1/(y-2)****

Answer 9

finally, we have to replace \(y\) with \(x\)