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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.

 Aug 16, 2018
 #1
avatar+147 
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Help please.

 Aug 16, 2018
 #2
avatar+100803 
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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]

 Aug 17, 2018

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