Question

Which of the following conditions need to hold for two functions f and g to be equal?

Check all that apply.

A. The rules for f and g are equal.
B. The values of f and g are equal at each point in the domain.
C. The ranges of f and g are equal.
D. The domains of f and g are equal.

Answer 1

The rules for f and g are equal.

Answer 2

For example, the rules are like this:


\(\Large \color{MidnightBlue}{\Rightarrow f(x) = x + 1 }\)

\(\Large \color{MidnightBlue}{\Rightarrow g(x) = 2x^2 + 8 }\)

If these are equal, then y'know, the functions are equal.

Answer 3

and thats the only one thats right "A"?