Question 15
Find the inverse of the one-to-one function.
\[
f(x)=-3 x-6
\]
\[
f^{-1}(x)=
\]
(A)
\[
\frac{x-6}{-3}
\]
\[
f^{-1}(x)=
\]
B
\[
f^{1}(x)=
\]
(C)
\[
\frac{y+6}{-3}
\]
\[
f^{-1}(x)=
\]
D
\[
\frac{x+6}{-3}
\]

Answer

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Answer

Hence, the inverse function is given by $f^{-1}(x) = \boxed{\frac{x + 6}{-3}}$

Steps

Step 1 ：Let $y = -3x - 6$. Then $y = -3x - 6$

Step 2 ：Solve for x: $x = \frac{y + 6}{-3}$

Step 3 ：Hence, the inverse function is given by $f^{-1}(x) = \boxed{\frac{x + 6}{-3}}$