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
40 tens is basically 40 times 10 so 400
which is 4 hundreds
Answer:
8125 mm
Step-by-step explanation:
Not that sure
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
the equation line passes through(-3,0)and (0,3) is : y=ax+b
a is the slope a = (3-0)/(0+3) = 1
so : y= x +b calculate b line passes through(-3,0)and (0,3)
x=0 y=3 : 3 = 0+b so b= 3
this equation is : y= x+3