Question

find the inverse for the function
\\f(x) = \frac{x}{8} + 3\\
\\f^{-1}(x) = ?x + \\

Explanation:

Replace f(x) with y

Using the Finding Inverse Algebraically knowledge point

$$ y = \frac{x}{8} + 3 $$

Swap x and y

Using the Finding Inverse Algebraically knowledge point

$$ x = \frac{y}{8} + 3 $$

Solve for y

Using the Linear Inverse Functions knowledge point

$$
LATEXBLOCK0
$$

Express as inverse function

Using the Linear Inverse Functions knowledge point

$$ f^{-1}(x) = 8x - 24 $$

Answer:

Find the inverse for the function

$$f(x) = \frac{x}{8} + 3$$

\(f^{-1}(x) =\) <blank>\(8\)</blank>\(x +\) <blank>\(-24\)</blank>