Answer:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values. For example, if the roots are -2 and 5, the x-coord. of the vertex is (-2+5)/2, or 3/2.
Once you have this x value, subst. the value into the given equation to calculate y. Then write the vertex as (x,y).
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Answer:
See the procedure
Step-by-step explanation:
we know that
To find the population density per m² of each of the above species, divide the amount of each species by the total area
so
<em>Ferns</em>
<em>Grass plants</em>
<em>Oaks Trees</em>
Answer:
86
Step-by-step explanation:
y + 28 + 58 = 180
y + 86 = 180
y = 180 - 86
y = 94
x + y = 180
x + 94 = 180
x = 180 - 94
x = 86