- #1

Torshi

- 118

- 0

## Homework Statement

Find c such that the function f(x) { x^2-9 while x≤ c and 6x-18 x > c } is continuous everywhere.

## Homework Equations

Given above. Basic algebra.

## The Attempt at a Solution

I made a number line. Showing that x^2-9 is approaching from the left side and 6x-18 is approaching from the right side given the designation of the inequality.

If there were numbers, I could easily do it, but the "c" is throwing me off.

An attempt to a similar problem with numbers would simply be chug and plug and knowing which side it comes from left or right, and if there was a variable "a" in there as well you can substitute.

I have no idea how to start the problem, would it become c^2-9 and 6c-18? and try to solve for c?