Question

Find the inverse function for f(x)=sqrt2x-6 picture below

Answer 1

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: $\sqrt{2x - 6}$

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2