Which of the following functions is equivalent to the function below? Select two that apply.

Question

f(x)=3 ^2x+1

1) g(x)=27^x
2) g(x)=9^x +1
3) g(x)=3^2x +3
4) g(x)=3⋅9^x
5) g(x)=2⋅3^x +1
6) g(x)=(1/3)^−(2x+1)

I selected answers 2 and 4. Are these correct?

I selected 4 because that one actually equal to the equation above and 2 because of it semi-equal it. My calculator(and the online ones I've went to) sucks, so I was hoping if anyone who's actually good at math, unlike myself, could tell me if these are correct or not.

Answer 1

the way you typed it ...
f(x)=3 ^2x+1
= 9x + 1, which does not match anything

unless you meant: f(x) = 3^(2x) + 1
which would be f(x) = (3^2)^x + 1
=9^x + 1 , which I do see

Answer 2

I didn't type anything I copied and pasted it... And no on the test it says
3 ^2x+1 with the 2x+1 being an exponent. That's why I said I think number 4 is correct because when you put it into a calculator the answer is the one above.

Answer 3

Well then, copy and paste, without regards to whether it makes or not, and then
you expect us to try and interpret it?
So know you say : 3^(2x+1) , which gives it a totally different meaning.

3^(2x+1) = 3^(2x)*3^1
= 3*(3^2)^x
= 3*9^x

And I do see that as well.
Can't you see how your original statement is really ambiguous ?

Answer 4

I can see how you didn't understand it, apologies for the misunderstanding. Again I am bad at math/algebra. Do you know any of the other answer(s) that are correct because it says I need "two" and I cannot figure the other one out?