Help answer 1 and 2 pls
1 answer:
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Given:
The function is:
The function g(x), the image of f(x) after a (reflection over the line y=x).
To find:
The function g(x).
Solution:
We have,
Substitute in the given function.
The function g(x), the image of f(x) after a (reflection over the line y=x). So, interchange x and y.
Now, we need to find the value of y.
[Divide both sides by 2]
[Subtract 5 from both sides]
Add both sides half of square of coefficient of y, i.e. , to make it perfect square.
Taking square root on both sides, we get
Substituting , we get
Therefore, the required function is .