Question

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

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

Answer 1

C D A

Answer 2

nah man, its not a check off one bruh, its a mutipule choice one

Answer 3

nevermind you right bru thanks

Answer 4

I don't know what C means, but I think B should be checked.

Saying you have function \(f(x) = \dfrac{x^2-25}{x-5}\) and \(g(x) = x+5\).
If you simplify f(x), you will get g(x), but they are not exact equal since \(f(x)\neq g(x)\) at \(x=5\) because \(f(x)\) doesn't exist at \(x=5\).

Therefore, for function to be equal, they need to have equal domain...

... and the values of f and g to be equal at each point in the domain.

Hence my answer is A B D.

Not sure about C though...

Answer 5

thank yall so much (':