Answer:
x = 14
Step-by-step explanation:
30 = 3x - 12 (vertically opp)
30 + 12 = 3x
42 = 3x
42÷3 = x
14 = x
Answer:
152£
Step-by-step explanation:
1. 1/3 of the coins is 255/3=85 85coins is worth 1£
2. 110 of the coins are worth 50p
3. to figure out hos many 20p coins
total number of coins - number of 1£ coins - number of 50p coins
255-85-110=60
60 of the coins are worth 20p
4 add everything togheter
85£ from first
110/2=55£ from second
60 coins are worth 20p
5 coins make 1£
60/5=12£
5. add everything 85+55+12=152£
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