Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
Answer:
Step-by-step explanation:
Let 
represent the length of the rectangle. The width can be represented as 
.
The perimeter of a rectangle with lengths 
and 
is given by 
.
Thus, we have:
The width is then 
.
Correct answer: <span>Dot-and-cross-diagram
</span>
Dot-and-cross diagrams are used to represent covalent bonds. The shared electron from one atom is shown as a dot, while the shared electron from the other atom is shown as a cross.
When drawing dot-and-cross diagrams for covalent bonds, you only need to show the electrons in the highest occupied energy level, as only these are involved.
81.25 / 125 = 0.65
so 65 %
to check 65% * 125 = 81.25
hope this helps ;)
