SOLUTION: If f(x) is a function whose domain is [-8,4], and g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation. I tried multiplying the original doma

Algebra ->  Functions -> SOLUTION: If f(x) is a function whose domain is [-8,4], and g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation. I tried multiplying the original doma      Log On


   

Question 1207410: If f(x) is a function whose domain is [-8,4], and g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.
I tried multiplying the original domain by -2, which yields [-8,16], but that is incorrect. Can anyone help? Thanks in advance!
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
When x is in the interval [-8, 4], -2x will be in the interval [-8%28-2%29, 4%28-2%29]=[16, -8].
so, the domain of g%28x%29+[16, -8] in interval notation

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Ignore the absurd response from tutor @MathLover1. "[16,-8]" is not correct notation for any interval....

For the given function f(x), the function is defined when x is between -8 and 4.

So for the function f(-2x), the function is defined when -2x is between -8 and 4 -- which is between -8/-2 = 4 and 4/-2 = -2. Then of course you need to write the answer in interval notation with the smaller number first.

ANSWER: [-2,4]