Question

find the inverse for the function:

\\f(x) = 3x - 21\\

\\f^{-1}(x) = \frac{x}{?} + \\

Explanation:

Replace f(x) with y

Using the Inverse Functions knowledge point

$$ y = 3x - 21 $$

Swap x and y

Using the Inverse Functions knowledge point

$$ x = 3y - 21 $$

Solve for y

Using the Finding Inverse Algebraically knowledge point

$$
LATEXBLOCK0
$$

Express as inverse function

Using the Finding Inverse Algebraically knowledge point

$$ f^{-1}(x) = \frac{x}{3} + 7 $$

Answer:

Find the inverse for the function:
\(f(x) = 3x - 21\)
\(f^{-1}(x) = \frac{x}{<blank>3</blank>} + <blank>7</blank>\)