the function f(x)= square root sign 10x+20, x>=20/10 is a one to one function find its inverse
To find the inverse of the function f(x) = √(10x + 20), we need to interchange the variables x and y and solve for y.
Step 1: Replace f(x) with y: y = √(10x + 20)
Step 2: Swap x and y: x = √(10y + 20)
Step 3: Square both sides to eliminate the square root: x^2 = 10y + 20
Step 4: Solve for y: 10y = x^2 - 20
Step 5: Divide both sides by 10: y = (x^2 - 20) / 10
Therefore, the inverse function of f(x) is f^(-1)(x) = (x^2 - 20) / 10