Question

what is the inverse of f(x)=6/5x+7

Answer 1

is 5x+7 whole in denominator ?

Answer 2

well I'll then tell you both ways :
let f(x)=y
1) y=6/5x + 7
y-7=6/5x
x=6/5(y-7) [ thats the inverse of y ]

2) y=6/( 5x+7)
y(5x+7)=6
5yx+7y=6
5yx=6-7y
x= (6-7y) /5y [ thats the inverse ]

* TIP : Always use brackets for keeping denominator away from numerator , vice-versa ! :-)