Question

The function f(x)=x+19 is one-to-one.
a. Find an equation for f-1(x), the inverse function.

Answer 1

f^-1 (x) = x - 19

Explanation:

First take the f(x) and fill in y in the place of f(x):

f(x) = x + 19

y = x + 19

Then, switch the x and y.

x = y + 19

Next, solve for y, which means get the y all by itself.

x = y + 19

Subtract 19 from both sides.

x - 19 = y

rearrange.

y = x - 19

Lastly, replace the y with the f^-1 (x)

f^-1 (x) = x - 19

now you have found the inverse function.