How many triangles can be constructed with the following measures?
1 answer:
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Answer:
Step-by-step explanation:
Given a certain function , and then its inverse function
, the following expression is valid:
where the expression
indicates the composite function.
In this problem, we have:
And then, its inverse function is
To verify that g(x) is the inverse of f(x), the following expression must be true:
Substituting the expression of g(x) into f(x), we find that:
So, g(x) is the inverse of f(x).
The simplified answer and the solution is listed below:
![\sqrt[4]{81 x^{8} y^{5} } \\ \\ = \sqrt[4]{(3)^{4} x^{8} y^{5} } \\ \\ = \sqrt[4]{(3 x^{2} y)^{4} y} \\ \\ =3 x^{2} y \sqrt[4]{y}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B81%20x%5E%7B8%7D%20%20y%5E%7B5%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B%283%29%5E%7B4%7D%20x%5E%7B8%7D%20%20y%5E%7B5%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D%20%5Csqrt%5B4%5D%7B%283%20x%5E%7B2%7D%20y%29%5E%7B4%7D%20y%7D%20%20%5C%5C%20%20%5C%5C%20%0A%3D3%20x%5E%7B2%7D%20y%20%5Csqrt%5B4%5D%7By%7D%20)