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I used MathPapa to get the answer </span>
9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses
Recall the dot-product is just <a,b> • <c,d> => a*c + b*d.
therefore here is just 5*(-8) + 7* 2, or namely -26.
Answer: Square root 85 units
Step-by-step explanation:
Given: The legs of a right triangle are 6 units and 7 units.
Let h be the hypotenuse of the right triangle.
By Pythagoras theorem of right triangle, we have
Hence, the length of the hypotenuse
- Pythagoras theorem of right triangle says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
P(odd) or P(multiple of 5)
When we roll 2 number cubes
all possible outcomes of their sum are 2,3,4,5,6,7,8,9,10,11,12.(11 possible outcomes)
Out of those possible outcomes
3,5,7,9,11 are odd (5 outcomes) and ...
5 and 10 are multiples of 5 (2 outcomes)
Now, P(odd) or P(multiple of 5) really means P(odd) + P (multiple of 5) =
(If we had “and” instead of “or” we multiply)
= (5/11) +(2/11)
=7/11
