QuestionLet $$\begin{array}{l} f(x)=\frac{x+2}{x+7} \\ f^{-1}(-3)= \end{array}$$

Studdy Solution
Simplify the expression:
Calculate the numerator:
$$2 - 7(-3) = 2 + 21 = 23$$
Calculate the denominator:
$$-3 - 1 = -4$$
Thus,
$$f^{-1}(-3) = \frac{23}{-4} = -\frac{23}{4}$$
The value of $f^{-1}(-3)$ is:
$$\boxed{-\frac{23}{4}}$$