Mathematics

This is an exponential function where the base $\frac{5}{4}$ is greater than 1, so the function grows as $x$ increases. The key insight is recognizing that $g(x)$ follows the form $a \cdot b^x$, where 7 is the initial value and $\frac{5}{4}$ controls how fast it grows—each unit increase in $x$ multiplies the output by $\frac{5}{4}$. Understanding this structure lets you evaluate $g$ at any input, find growth rates, or solve equations involving exponential relationships.

This is an exponential function where the base $\frac{5}{4}$ is greater than 1, so the function grows as $x$ increases. The key insight is recognizing that $g(x)$ follows the form $a \cdot b^x$, where 7 is the initial value and $\frac{5}{4}$ controls how fast it grows—each unit increase in $x$ multiplies the output by $\frac{5}{4}$. Understanding this structure lets you evaluate $g$ at any input, find growth rates, or solve equations involving exponential relationships.