Question

Please help me with this. pre cal ​

Answer 1

Option (2)

Explanation:

If m(x) and n(x) are the functions inverse of each other,

Then the following condition should be fulfilled,

m[n(x)] = n[m(x)] = x

Here, m(x) =
`(3x)/(x+7)` and n(x) =
`(7x)/(3-x)`

m[n(x)] =
`(3((7x)/(3-x)))/(((7x)/(3-x))+7)`

=
`(21x)/(7x+21-7x)`

= x

n[m(x)] =
`(7((3x)/(x+7)))/(3-(3x)/(x+7))`

=
`(21x)/(3x+21-3x)`

= x

Therefore,
`(3((7x)/(3-x)))/(((7x)/(3-x))+7)=(7((3x)/(x+7)))/(3-(3x)/(x+7))=x` will be the correct option.

Option (2) will be the answer.