If f(x) and its inverse function, f(x), are both plotted on the same coordinate plane, where is their point of intersection?
1 answer:
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Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard and accept
.
In fact, we have
and
which is the only solution.
That's a question about percentage.
One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.
Examples:
- 90% is equivalent to 0,90.
- 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
- 13.17% is equivalent to 0.1317.
- 245% is equivalent to 2.45.
If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.
Examples:
- 55.90% of 200 is equal to:
- 360% of 88 is equal to:
In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.
107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.
We know that , therefore, the total cost of the phone after tax is $246.1.
I hope I've helped. :D
Enjoy your studies. \o/