If f (x) = -10x+2, then f^-1 (x) = ?

Hello!

To find the inverse of a function, you switch the x and y variables and solve for y. Here are some characteristics of inverse functions: the domain of f (x) is equal to the range of f^-1 (x), and the range of f (x) is equal to the domain of f^-1 (x). If f (x) and f^-1 (x) are inverses of each other, then they are reflected over the line y = x.

y = - 10x + 2 → x = - 10y + 2

x = - 10y + 2 (subtract 2 from both sides)

x - 2 = - 10y (divide both sides by - 10)

(x - 2) / -10 = y (simplify)

y = - x/10 + 1/5

Therefore, if f (x) = - 10x + 2, then f^-1 (x) = - x/10 + 1/5.