Answer:
<h3>Step-by-step explanation:
y= x²+6x-5
completing the square: <em> a²+2ab+b²</em> <em>= (a+b)²</em> where <em>a²=x² </em>(so <em>a=x</em>) and <em>2ab=6x </em> (so <em>b</em> would be 3):
What is 19 divided by 4,257
2 answers:
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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