at what points is the given function f(x) continuous?\nf(x)=\frac{11}{x - 10}-7x\ndescribe the set of x…

Explanation:

Step1: Identify the discontinuity point

A rational - function has a discontinuity where the denominator is zero. Set $x - 10=0$. Solving for $x$ gives $x = 10$.

Step2: Determine the intervals of continuity

The function $f(x)=\frac{11}{x - 10}-7x$ is a rational - function combined with a linear function. It is continuous everywhere except at $x = 10$. The intervals of continuity are $(-\infty,10)$ and $(10,\infty)$.

Answer:

$(-\infty,10)\cup(10,\infty)$