Question

#1 why is it B？
No idea someone help plz

Answer 1

Option (B)

Explanation:

1). Given function is,

`f(x)=(1)/(x-1)+3`

It the given function 'f' is transformed by a translation of 2 units to the right, the new function will be,

h(x) = f(x - 2)

h(x) =
`(1)/((x-2)-1)+3`

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

Further the new function is translated by 6 units down,

g(x) = h(x) - 6

g(x) =
`(1)/(x-3)+3-6`

=
`(1)/(x-3)-3`

Since, transformed function 'g' passes through a point (x, -2),

g(x) =
`(1)/(x-3)-3`

-2 =
`(1)/(x-3)-3`

3 - 2 =
`(1)/(x-3)`

x - 3 = 1

x = 4

Therefore, Option (B) will be the answer.