Answer:
![y \in R; y \neq 0](https://tex.z-dn.net/?f=y%20%5Cin%20R%3B%20y%20%5Cneq%200)
Explanation: For this, it is often best to find the horizontal asymptote, and then take limits as x approaches the vertical asymptote and the end behaviours.
Well, we know there will be a horizontal asymptote at y = 0, because as x approaches infinite and negative infinite, the graph will shrink down closer and closer to 0, but never touch it. We call this a horizontal asymptote.
So we know that there is a restriction on the y-axis.
Now, since we know the end behaviours, let's find the asymptotic behaviours.
As x approaches the asymptote of 7⁻, then y would be diverging out to negative infinite.
As x approaches the asymptote at 7⁺, then y would be diverging out to negative infinite.
So, our range would be:
For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have
Shape Tessellate?
Octagon No
Hexagon Yes
Pentagon No
Square Yes
Triangle No(unless it is specified that it is an equilateral triangle)
Answer:
The value of where a digit is in the number.
Step-by-step explanation:
Answer:
Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.
Step-by-step explanation:
f(g(x)) = f(
) = ![16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x](https://tex.z-dn.net/?f=16%28%5Cfrac%7B1%7D%7B4%7D%5Csqrt%7Bx%7D%20%29%20%5E%7B2%7D%20%3D%2016%28%5Cfrac%7B1%7D%7B16%7Dx%29%3Dx)
g(f(x)) = g