Given the equation f(x)=2x^2-14x+10, find g(x), the image of f(x) after a ry=x (reflection over the line y=x). Express your answer as a single fraction. ​

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 .

£56

step-by-step explanation: