Answer:
F(x) and g(x) are not inverse functions.
Step-by-step explanation:
In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.
As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.
![[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x](https://tex.z-dn.net/?f=%5Btex%5Dy%3D10%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5C%5C%5Clog%20y%3Dlog%2010%5E%7B%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20%7D%5C%5Clog%20y%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%20.%20log10%5C%5C%5Cfrac%7Blog%20Y%7D%7Blog10%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5C%5Cfrac%7Blog%20Y%7D%7B1%7D%20%3D%20%28x%2B%5Cfrac%7B2%7D%7B3%7D%29%5C%5Clog%20Y-%5Cfrac%7B2%7D%7B3%7D%3Dx)
[/tex]
Now we change the variables.
F(x) and g(x) are not inverse functions.
4x +9
3x and x are like terms
And 2 and 7 are like terms
Hope this helps :D
1/100, 1/400, 1/500
Because the numerators are the same, we just need to compare the denominators.
100< 400< 500
⇒ 1/100 > 1/400 > 1/500
Therefore, the highest value is 1/100.
Hope this helps.
Answer:
52.8 feets
Step-by-step explanation:
From the diagram :
The height of tree woulb be :
Height above the ground (at breakpoint) + hypotenus
Hypotenus, h cab be obtained using Pythagoras rule :
h² = opp² + adj²
h² = 39² + 12²
h² = 1665
h = sqrt(1665)
h = 40.804 feets
Height of tree to the nearest tenth ;
40.804 feets + 12 feets
= 52.804 feets
= 52.8 feets
Answer:
P = 9
Step-by-step explanation:
When P = 9, we could multiply 9 to (2n+ 3).
We would get:
18n + 27
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Have a great summer :)
