Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
This the only option to find x since doing the other way like 3x + 2 = 3x + 2 gives it an infinite solution.
4x - 1 = 3x + 2
-3x -3x
1x - 1 = 2
+1 +1
1x = 3
--- ----
1 1
x = 3
Check:
4(3) - 1 = 3(3) + 2
12 - 1 = 9 + 2
11 = 11
Answer:
No.
Step-by-step explanation:
It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135
Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.
we basically use inverse functions in our daily lives all the time
to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment
functions are also used in computing