How much larger than 3/4 is 25/32
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Answer:
g and f are inverse functions because g(f(x)) = f(g(x)) = x
Step-by-step explanation:
Let's start by finding f(g(x)) and g(f(x)). As we discussed in another question, to find a composite function, apply the outer function to whatever the inner function evaluates to. We can start with f(g(x)):
Now, let's find g(f(x)):
There is a property that says that if f(g(x)) = g(f(x)) = x, the two functions are inverse. This suggests that g and f are inverse functions. We can verify this by taking one function, switching y and x, and then solving for y. If we complete this process and find that we get the OTHER function, it means the two functions are inverse. Let's try that:
Swap x and y:
Solve for y:
Notice that we got g, which means f and g are inverse.
Each year, you drop 7.25% from the current amount. (Leaving you with 92.25%)
To find the a percentage of something, multiply it as a decimal.
After one year, it would look like 28,000 × 0.9225.
Each year after, the amount is multiplied by 0.9225 again.
For five years, we multiply it by 0.9225 five times, the same as 0.9225^5.
The basic formula for depreciation is
where p is the principal (original/main) value, r is the rate as a decimal per unit of time n.
To find the a percentage of something, multiply it as a decimal.
After one year, it would look like 28,000 × 0.9225.
Each year after, the amount is multiplied by 0.9225 again.
For five years, we multiply it by 0.9225 five times, the same as 0.9225^5.
The basic formula for depreciation is