Question

Inverse of y = x^2 - 10x

Answer 1

Hope it helps!

Explanation:

To find the inverse of a function, we can follow these steps:

Replace f(x) with y.

Swap x and y.

Solve for y.

So, for the function y = x^2 - 10x, we can start by replacing f(x) with y:

y = x^2 - 10x

Next, we swap x and y:

x = y^2 - 10y

Now we solve for y. Rearranging the equation, we get:

y^2 - 10y - x = 0

Using the quadratic formula, we can solve for y:

y = (10 ± √(100 + 4x)) / 2

Therefore, the inverse of y = x^2 - 10x is:

y = (10 ± √(100 + 4x)) / 2