Question

whats the inverse function of the function f(x)= the square root of x+10? algebraically

Answer 1

To find inverse function, you replace f(x) to y, then you switch x and y to each other, then solve for y.

Answer 2

So you have \(f(x) = \sqrt{x+10}\)

Replace f(x) to y.
\[y = \sqrt{x+10}\]
Switch x and y to each other:
\[x = \sqrt{y+10}\]

Now solve for y. Can you do it from here?