F(x)= 2x+7/x+1 . what is the inverse of this function?

Hey there :)

f ( x ) is also y
So  is

To find the inverse, reverse the places of x and y, let y be in the place of x and x in the place of y
  ↓

x ( y + 1 ) = 2y +7
xy + x = 2y + 7
xy - 2y = 7 - x

Take y as common factor
y ( x - 2 ) = 7 - x

Divide by x - 2 on either side to isolate y and thus find the inverse

y = 

Therefore the inverse of the function is:
f ⁻¹ ( x ) = 

Where is the picture