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# Help me quickly please.

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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
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+142
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DanielCai  Aug 16, 2018
#2
+93866
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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