Hey there!
[tex]f(x)[/tex] ("f" of "x") is usually the "y" variable of the mathematical problem, same thing with [tex]g(x)[/tex] ("g" of "x"), they are both part of the "y-intercepts"
So, basically , the inverse of [tex]f(x)[/tex] [tex]= 4x[/tex][tex]-7[/tex] would most likely be: [tex]y =[/tex][tex]4x[/tex] [tex]-7[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]