Answer:
The statement is false because [tex]f^{-1} (x)[/tex] denotes the inverse of function f, whereas [tex]\frac{1}{f(x)}[/tex] is the reciprocal values of f.
(The first answer choice)
Step-by-step explanation:
Well x usually represents y which is why x is in parentheses.
[tex]f^{-1}[/tex](x) is the inverse of f.
So f is the inverse of x.
The last number is usually what you divide x by.
So it would usually be f(x) over the first number that has the variable. The variable is being subtracted by the last number rather than being multiplied like in normal f(x).
I'd say that the statement is false because [tex]f^{-1}[/tex](x) is the inverse which means [tex]\frac{f(x)}{1}[/tex]
The function that [tex]\frac{1}{f(x)}[/tex] is describing would be reciprocal.
If you need further assistance don't be afraid to reach out. I hope this helps!
