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Answer:

Step-by-step explanation:
<u>Quadratic Function</u>
The quadratic function can be expressed in the following form:

Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.
From the conditions stated in the problem, we know
x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}
Substitute in the general formula above:
![y=a[x-(1+\sqrt{2})][x-(1-\sqrt{2})]](https://tex.z-dn.net/?f=y%3Da%5Bx-%281%2B%5Csqrt%7B2%7D%29%5D%5Bx-%281-%5Csqrt%7B2%7D%29%5D)
Operate the indicated product

To find the value of a, we use the y-intercept which is the value of y when x=0, thus

It follows that

Thus, the required quadratic function is

Or, equivalently

F(x) = x² + 4
y = x² + 4
First, I reverse the equation to be
x² + 4 = y
Second, we need only x to remain on the left side and we need to move the others to the right side
x² + 4 = y
x² = y - 4
x = √(y - 4)
Last, change into invers function
f⁻¹(x) = √(x - 4)
Answer:
Yes
Step-by-step explanation:
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