F(x) = (x + 1)(x - 2)
f(x) = x(x - 2) + 1(x - 2)
f(x) = x(x) - x(2) + 1(x) - 1(2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2
Here is the graphical representation of the function you provide.
You can see the the points in which the line intersects each axis.
Every point in the line is a possible option for which hot dog package was bought.
For example, Taro might have bought 0 of the packages of 8, and 16 packages of 12.
or He might've bought zero packages of 12, and 24 packages of 8.
The range of the function is {-34, -2, -20}
<h3>How to determine the range?</h3>
The function is given as:
f(x) = -2x^2 - 2
The domain is {-4, 0, 3}
Substitute the domain values in the function.
f(-4) = -2(-4)^2 - 2 = -34
f(0) = -2(0)^2 - 2 = -2
f(3) = -2(3)^2 - 2 = -20
This means that the range of the function is {-34, -2, -20}
Read more about range at:
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Answer:
x=7
Step-by-step explanation:
f(x) =g(x)
12-2=x+3
10=x+3
10-3=x
x=7