Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Find the inverse of the given function.

Answer 1

To find the inverse of a function, switch x and y in the function equation and solve for y.

Step-by-step explanation:

To find the inverse of a function, we need to switch the roles of x and y in the function equation and solve for y. Let's take an example:

If we have the function f(x) = 3x + 4, to find its inverse, we switch x and y to get x = 3y + 4. Now, solve this equation for y:

x - 4 = 3y

(x - 4) / 3 = y

Therefore, the inverse function is f-1(x) = (x - 4) / 3.