Describe the domain of the function. $g(x)=\sqrt{7-8x}$

A) $x\ge \frac{7}{8}$
B) $x\le \frac{7}{8}$
C) $x\ge \frac{8}{7}$
D) $x\le \frac{8}{7}$
E) all real numbers

The domain of the function $g(x)=\sqrt{7-8x}$ is determined by the condition that the expression under the square root must be greater than or equal to 0 (since the square root of a negative number is not real). Thus, we require $7-8x\ge 0$ , which simplifies to $x\le \frac{7}{8}$ .