Question

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Find the inverse function for f(x) = √2x – 6.

Answer 1

Step-by-step explanation:

remember that f(x) stand for y in the coordinate grid.

so, we actually have

y = sqrt(2x - 6)

in the inverse function we try to camcorder the original x out of a given y result.

for that function we need to transform the y = ... function into a x = ... form. and then we simply rename x to y and vice versa to create a regular function.

y = sqrt(2x - 6)

let's square both sides to get rid of the square root.

y² = 2x - 6

2x = y² + 6

x = y²/2 + 3

now renaming the variables, and the inverse function is

y = f-1(x) = x²/2 + 3