Answer:
Step-by-step explanation:
we subtract to find how much they saved, 40-24=16
now we divide 16 by 40 to get the percent 16/40 = 0.4
40%
Hey there!
When we say (f + g)(2), we are adding both functions together and plugging in 2 for x.
Since f(x) is equal to 2x + 210 and g(x) is equal to 2x + 125, (f + g)(x) is equal to (2x + 210) + (2x + 125).
That can be simplified to 4x + 335.
So, (f + g)(x) = 4x + 335.
Let's plug 2 in for x and solve.
(f + g)(2) = 4(2) + 335
Multiply.
(f + g)(2) = 8 + 335
Add.
(f + g)(2) = 343
The x value is consistent for the values of both equations, in both x is defined as the number of hours spent exercising.
So, (f + g)(2), which is 343, is the amount of calories burned and the calorie deficit on a diet when 2 hours are spent exercising.
Hope this helps!
Answer:
The inverse for log₂(x) + 2 is - log₂x + 2.
Step-by-step explanation:
Given that
f(x) = log₂(x) + 2
Now to find the inverse of any function we put we replace x by 1/x.
f(x) = log₂(x) + 2
f(1/x) =g(x)= log₂(1/x) + 2
As we know that
log₂(a/b) = log₂a - log₂b
g(x) = log₂1 - log₂x + 2
We know that log₂1 = 0
g(x) = 0 - log₂x + 2
g(x) = - log₂x + 2
So the inverse for log₂(x) + 2 is - log₂x + 2.
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment