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 ) = 

Ithink the answer is discovery verbs because they are quite similar to the verb 'discovering'

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,