Based on the sample response given, the statements included in the explanation on the horizontal line test are:
- a reference to the horizontal-line test.
- a statement that the function is one-to-one.
- inverse is a function.
<h3>What is the horizontal-line test?</h3>
The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.
To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.
Find out more on the horizontal line test at brainly.com/question/11471811
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Answer:
yes
Step-by-step explanation:
each input is put with only one output therefore it is a function
First Method (Distributive Property)
(2m - 5m) (-5)
Rearrange the equation to make it easier.
(-5) (2m - 5m)
In distributive property, it's all about multiplying. The -5 goes to the 2m and the 5m. Like this: (-5 • 2m) - (-5 • 5m).
-10m + 25m
15m
Second Method
(2m - 5m) (-5)
Since 2m and 5m have the same variable, we can subtract them.
(-3m) (-5)
Multiply.
15m
15m is your answer. I hope this helps!
<span>173/<span>25 is the answer to that.</span></span>
Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12
