The Answer is -3/2
Below is how I got that answer
(-12) / 6+2
-12/ 8 (Simplify the problem by adding 6 and 2, remove the parenthesis).
-3/2 (Simplify -12/8 by dividing it by 4)
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Before attempting to solve any problem, make sure that the units are consistent. There are units of feet and inches. To be consistent,let's convert ft to in knowing that there are 12 inches in 1 ft.
9 ft*12 in/1 ft = 108 inches
Now, it also mentions that there are 5 of these. So, the total length would be:
Total Length = 108*5 = 540 inches
Finally, divide the total length to 15 inches.
Number of portions = 540/15 = <em>36 pieces of 15-inch ribbons</em>
Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39
For a function to have a derivative in a point has to be continuous at the point, that is, it has to be defined at that point, other wise the derivative would be meaningless.