By analyzing the functions we will see that:
- Similarities: Both are exponential growths.
- Difference: These have a different base, the one of g(x) is a little bit larger.
Here the two functions are:
- f(x) = (1.05)^x
- g(x) = e^(0.05*x)
How these are similar?
We can see that both of these are exponential equations, and we also can see that both of these are exponential growths (as x increases, also does the function).
How these are different?
Well, the only different thing is the base, to see how the base is different we can rewrite the function g(x).
[tex]e^{0.05*x} = (e^{0.05})^x = (1.0513)^x[/tex]
Then we can rewrite g(x) as:
g(x) = (1.0513)^x
So here we can see that the base of g(x) is a little bit larger than the one of f(x).
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11464095
