Thank you for the opportunity to help you with your question!
For functions, the notations
mean the same thing, but "f(x)" provides more flexibility and more
information. You used to say "y=4x+ 3; solve for y
when x = –1". Now you say f(x)= 4x + 3; find f(–1)" (pronounced as "f-of-x
is 4x plus three; find f of negative one.
the same thing for each: you plug in –1 for x.
and *2, and then +3, simplifying to
get a value of -1
In the question, f(x) will be contionous when the values of f^-1(x) will be equal to that of its reciprical.
Please let me know if you need any clarification. I'm always happy to answer your questions.