SOLUTION: 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 notatio

Question 1029539: 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.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The relation x--> -2x will carry the interval [-8,4] continuously onto a one-to-one correspondence with the interval [-8, 16]. The intersection of the domain [-8,4] and the range [-8,16] is still the interval [-8,4]. That is the domain of g(x) = f(-2x).
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