Suppose a function f(x) is defined on the domain [-8,4] . If we define a new function g(x)

by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.

DanielCai Aug 16, 2018

#2**+4 **

Suppose a function f(x) is defined on the domain [-8,4] . If we define a new function g(x)

by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.

\(-8\le -2x \le 4\\ -8\le -2x\qquad and \qquad -2x \le 4\\ \quad 4\ge x\qquad \quad and \qquad \qquad x \ge -2\\ \quad x \le 4\qquad \quad and \qquad \qquad x \ge -2\\ -2 \le x \le 4\)'

domain is

[-2,4]

Melody Aug 17, 2018