Answer:
The inverse of the function is 
.
Step-by-step explanation:
The function provided is:
Let 
.
Then the value of <em>x</em> is:
For the inverse of the function, 
.
⇒
Compute the value of ![f[f^{-1}(x)]](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D)
as follows:
![f[f^{-1}(x)]=f[\frac{x-5}{3}]](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D%3Df%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D)
![=3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x](https://tex.z-dn.net/?f=%3D3%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D%2B5%5C%5C%5C%5C%3Dx-5%2B5%5C%5C%5C%5C%3Dx)
Hence proved that ![f[f^{-1}(x)]=x](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D%3Dx)
.
Compute the value of ![f^{-1}[f(x)]](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D)
as follows:
![f^{-1}[f(x)]=f^{-1}[3x+5]](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D%3Df%5E%7B-1%7D%5B3x%2B5%5D)
Hence proved that ![f^{-1}[f(x)]=x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D%3Dx)
.
Answer:
1
Step-by-step explanation:
When numbers are raised to an exponent/power, it means how many times you are multiplying the number by itself.
Follow BEDMAS order. (Brackets, exponents, division/multiplication, addition/subtraction).
Solve inside the brackets of (8^1)^0 first
(8^1)^0 8^1 is 8. (Any number ^1 is itself).
= 8^0 Any number to the power of 0 is 1.
= 1
You can also follow the exponent rule where: 
(8^1)^0 = 8^(1*0) = 8^0 = 1
Answer:
18 is the greatest common factor between those
<span>The ratio of 2 similar areas is the square of the ratio of their RADIUS or (sides)
R²=(2/3)² = 4/9 This should be the answer
Whereas R³ = (2/3)³ = 8/27 is the ratio of their volume & not area
</span>
Answer:
We would save $1.52 cents
Step-by-step explanation:
3 the pencil were at sale for 25 cent
1 pencil = 25 cent/3 =8.33 cent per one pencil
5 the pencil were at sale for 29 cent
1 pencil = 29 cent/5 =5.8 cent per one pencil
If we bought 60 pencil in group of 3 for 25 cent
=60/3= 20 pencil
25cents * 20 pencil = 500 cent per 60 pencil
If we bought 60 pencil in group of 5 for 29 cent
=60/5= 12 pencil
29cents * 12 pencil = 348 cent per 60 pencil
From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents
