The volume of a gas with a pressure of 1.2 atm increases from 1.0 L to 4.0 L. What is the final pressure of the gas, assuming co
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Answer: f(g(x))=x and g(f(x)) = x
f⁻¹(x) = g(x) YES ARE INVERSES
f⁻¹(x) ≠ g(x) NOT INVERSES
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's and then solve for y.
If f⁻¹(x) = g(x), then they are inverses of each other.
Similarly, if g⁻¹(x) = f(x), they are inverses of each other.
<em>NOTE: You can also use composition to determine if they are inverses --> If (fog)(x) = x, then they are inverses of each other.</em>
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Answer:
Given the equation:
8y² - 2y - 1 = 0
Find two numbers that multiply into -1 and sum up to -2. Remember, the 8 as the leading coefficient must be taken into account.
After guessing and checking, we get:
(4y + 1) (2y - 1) = 0
Use the Zero-Product Property to solve for y:
4y + 1 =
4y = -1
y = -1/4
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2y - 1 = 0
2y = 1
y = 1/2
Therefore, solutions to this equation are:
y = -1/4, 1/2.