Question

Find the inverse function. f (x)=1/2x+6

Answer 1

The inverse of this function is f(x) = 2x - 12.

You can find the inverse of any function by switching the f(x) and x values in the equation. Then you can solve for the new f(x) value. The result is your inverse function. The work for this one is below.

f(x) = 1/2x + 6 ----> switch f(x) and x

x = 1/2f(x) + 6 ----> subtract 6

x - 6 = 1/2f(x) ----> multiply by 2

2x - 12 = f(x) ----> change the order for consistency.

f(x) = 2x - 12