if the function f(x) has a domain of -2≤x≤8 and a range of -4≤y≤6 and the function g(x) is defined by the formula g(x)= 5f(2x) t hen what are the domain and range of g. explain your thought process
1 answer:
Answer:
Domain: -1 ≤ x ≤ 4
Range: -20 ≤ 5f(2x) ≤ 30
Step-by-step explanation:
Inputs of f are between -2 and 8
Input is now 2x, so
-2 ≤ 2x ≤ 8
-1 ≤ x ≤ 4
(Horizontal stretch, factor 1/2)
Range of f is -4 ≤ y ≤ 6
So,
-20 ≤ 5y ≤ 30
(Vertical stretch, factor 5)
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