Help number 16 sos please
1 answer:
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Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
Substituting in the coordinates of the vertex,
So, the equation is .
On expanding, we get
Answer:
Step-by-step explanation:
<u>The Inverse of a Function</u>
Given a function f(x), the inverse of f, called is a function that satisfies:
The domain of f becomes the range of its inverse and vice-versa.
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
* Swap the variables
We are given the function:
Defined in the interval x ≥ -3
Note f is always negative, thus its range is f(x) ≤ 0
Now we find the inverse. Call y=f(x):
Multiplying by 2:
Squaring both sides:
Subtracting 3:
Swapping variables:
Thus:
The domain of the inverse is the range of f, thus x is restricted to
x ≤ 0