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
Answer:
x < 2
Step-by-step explanation:
We're going to solve this just like we would an equation, but with just one little twist. First, let's add 1/3 to both sides.
5/6x - 1/3 > 1 1/3
5/6x > 1 2/3
First, let's turn 1 2/3 into an improper fraction to make it easier to work with. Multiply the big number by the denominator, then add the numerator.
1 x 3 + 2 = 5
1 2/3 = 5/3
Now, multiply 5/3 by 2/2 to get 6 as the denominator. This works because 2/2 simplifies to 1 and therefore does not change the value of the fraction.
5 x 2 = 10
3 x 2 = 6
5/3 = 10/6
Now divide both sides by 5/6. Because they both have the same denominator, we can cancel the denominator out and just divide 5x/5 and 10/5.
5/6x > 10/6
5x > 10
x > 2
Wait! We don't have the correct answer just yet. Whenever you divide an inequality, you have to flip the inequality sign.
x < 2
Now <em>there's</em> our final answer.
Answer: yes?
Step-by-step explanation:
Answer:
x^2 + 6x + 8
Step-by-step explanation:
area of blue = x^2
area of pink= 2x
area of green=4x
area of brown=8
Adding all the area.
we get : x^2 + 6x +8
Answer:
y = -1.5x -1
Step-by-step explanation:
moves right 8
and down 12
so m = -12/8x or -1.5x
(4,-7) moves up 6, (0, -1)
