<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)
(b+1) and (4a - 3) are factors
answer
</span><span>4a − 3</span>
g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,
x = -1 ⇒ g(-1) = 4 (-1 + 3)² - 8 = 8
x = -5 ⇒ g(-5) = 4 (-5 + 3)² - 8 = 8
Only a one-to-one function can have an inverse. g(x) is not one-to-one.
However, if we restrict the domain of g(x), we can find an inverse over that domain. Let be the inverse of g(x). Then by definition of inverse function,
Solve for the inverse:
Recall the definition of absolute value:
This means there are two possible solutions for the inverse of g(x) :
• if , then
• otherwise, if , then
Which we choose as the inverse depends on how we restrict the domain of g(x). For example:
Remember that the inverse must satisfy
In the first case above, , or . This suggests that we could restrict the domain of g(x) to be .
Then as long as , the inverse is
Answer:
(-3, 2).
Step-by-step explanation:
The vertex is the coordinates of the minimum value of the function .
from the graph the vertex is (-3, 2).
What you know:
Mr. Adams spent $36.25 on 12.5 pounds.
All you do to find the cost per each pound is:
36.25/12.5
Your answer:
$2.9 dollars per pound.