AA.12 Compare linear, exponential and quadratic growth 39V Both of these functions grow as x gets larger and larger. Which function eventually exceeds the other? f(x)=9^x-3-5 g(x)=10x+3

To determine which function eventually exceeds the other, we need to compare the growth rates of the two functions.<br /><br />The function $f(x)=9^{x-3}-5$ is an exponential function, while the function $g(x)=10x+3$ is a linear function.<br /><br />Exponential functions grow much faster than linear functions as x gets larger and larger. Therefore, the function $f(x)=9^{x-3}-5$ will eventually exceed the function $g(x)=10x+3$.<br /><br />So, the answer is: $f(x)=9^{x-3}-5$ will eventually exceed $g(x)=10x+3$.