Which of the following functions is equivalent to the function below? Select two that apply.
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.
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
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.
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?
To determine which of the given functions is equivalent to the function f(x) = 3^(2x+1), let's analyze each option:
1) g(x) = 27^x
This function is not equivalent to f(x) because 27 is equal to 3^3, not 3^2.
2) g(x) = 9^x + 1
This function is equivalent to f(x). By using the property of exponentiation that (a^b)(a^c) = a^(b+c), we can rewrite 9^x as (3^2)^x, which simplifies to 3^(2x). Therefore, f(x) = 3^(2x+1) = 9^x + 1.
3) g(x) = 3^(2x + 3)
This function is not equivalent to f(x) because the exponent in f(x) is 2x+1, not 2x+3.
4) g(x) = 3 * 9^x
This function is equivalent to f(x). By using the same property mentioned above, we rewrite 3 * 9^x as 3 * (3^2)^x, which simplifies to 3^(2x+1).
5) g(x) = 2 * 3^x + 1
This function is not equivalent to f(x) because the term 2 * 3^x is different from 3^(2x+1).
6) g(x) = (1/3)^(-2x+1)
This function is not equivalent to f(x) because the exponent -2x+1 is different from 2x+1.
Therefore, the correct answers are options 2 (g(x) = 9^x + 1) and 4 (g(x) = 3 * 9^x).
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 ?