Domain l(x) is
-12 less than or equal to x less than equal to 12
and it's range is
0 less than or equal to l(x) less than equal to 3
(b) What are the domain and range of
l(1/5x)
Enter the exact answer
Domain
Range
Answer this Q
To find the domain and range of the function l(1/5x), we need to determine the values of x that are valid inputs and the corresponding values of l(x) as outputs.
First, let's consider the domain. In the given information, the domain of l(x) is defined as -12 ≤ x ≤ 12.
To find the domain of l(1/5x), we can apply the following steps:
Step 1: Substitute 1/5x for x in the domain of l(x).
-12 ≤ 1/5x ≤ 12
Step 2: Multiply all sides of the inequality by 5 (since we want to isolate x).
-60 ≤ x ≤ 60
Therefore, the domain of l(1/5x) is -60 ≤ x ≤ 60.
Now, let's move on to determining the range. In the given information, the range of l(x) is defined as 0 ≤ l(x) ≤ 3.
To find the range of l(1/5x), we need to substitute 1/5x for x in the range of l(x) as follows:
0 ≤ l(1/5x) ≤ 3
Hence, the range of l(1/5x) is 0 ≤ l(1/5x) ≤ 3.
In summary, the domain of l(1/5x) is -60 ≤ x ≤ 60, and the range of l(1/5x) is 0 ≤ l(1/5x) ≤ 3.