The range of the function y = -x² - 3x when the domain is {-5,0,2} is:
{-10, 0}.
<h3>What is the range of a function?</h3>
The range of a function is the set that contains the output values for the given domain of the function.
In this problem, the domain is:
{-5,0,2}.
Hence the output values are:
- -(-5)² - 3(-5) = -25 + 15 = -10.
- -(2)² - 3(2) = -4 + -6 = -10.
Hence the range is:
{-10, 0}.
-10 repeats, but goes only once on the range.
More can be learned about the range of a function at brainly.com/question/10891721
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<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
1/2 (Base x height) = area
1/2 (4*x)=10
2x=10
X=5
The height is 5 units
It is 300 miles per second
