Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
* Lets check the inverse function
- If f(x) = y has a domain = x and a range = y, then f^-1 is the
inverse of f with a domain = y and a range = x
- f(x) = f^-1(x) = x
* Now lets solve the problem
∵ f(x) = 8/x
∵ g(x) = 8/x
∴ fg(x) = f(8/x)
∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication
sign and reciprocal the fraction after the division sign
∴ fg(x) = 8 × x/8 = x
* Now lets find gf(x)
∴ gf(x) = g(8/x)
∴ gf(x) = 8/(8/x) = 8 ÷ 8/x
∴ gf(x) = 8 × x/8 = x
∵ f(x) = f^-1(x) = x
* fg(x) = gf(x) = x
∴ f(x) and g(x) are inverses
The answer is 2............
➜︎Question
Describe what you notice when you create the inverse ratio.
- How do you describe it?
- What do you notice?
- How do you create it?
➜︎Answer
A function composed with its inverse function yields the original starting value. Think of them as "undoing" one another and leaving you right where you started. Basically speaking, the process of finding an inverse is simply the swapping of the x and y coordinates.
- You can describe a inverse ratio by saying how it works
- You can notice the difference
- You could possibly know
Answer:
Associative Property of Multiplication.
Step-by-step explanation:
(self-explanatory)
I hope this helps, have a nice day.
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