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 .

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

step-by-step explanation:

left be aligning the decimal points is required to not required see the number of digits to the right