Answer:
Proved!
Step-by-step explanation:
For two functions f(x) and g(x) to be inverses of each other then;
f(g(x)) = x and g(f(x)) = x condition must be satisfied.
<u>Checking: A. f(x) = 7x³ + 10 and g(x) = ∛</u>
<u />
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So f(g(x)) = 7(![\sqrt[3]{(x- 10)/7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x-%2010%29%2F7%7D)
)³ + 10
We get; 7() + 10 = x - 10 + 10 = x (*<em>This is correct!)</em>
<em />
So g(f(x)) = ![\sqrt[3]{((7x^3 + 10) - 10)/7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28%287x%5E3%20%2B%2010%29%20-%2010%29%2F7%7D)
Ten cancels out and we are left with;
![\sqrt[3]{7x^3/7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7x%5E3%2F7%7D)
= ![\sqrt[3]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D)
= x (* <em>This is also correct!)</em>
If its improper fraction is 11/7 if you want the mixed number its 1 4/7
Answer:
Not similar -- shape B has been streched, these shapes are neither similar or congruent.
Step-by-step explanation:
Answer:
27 hours
Step-by-step explanation:
Let her work "x" hours for paperwork
Since, patrolling amount of hours is THREE TIMES that,
Patrolling = 3x hours
Total Hours = 36
That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:
x + 3x = 36
4x = 36
x = 36/4
x = 9 hours
Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours
So, she spends 27 hours patrolling
Answer:
B. -y = -x
Step-by-step explanation:
When the values on both sides of the equal sign are changed, it becomes a negative number.
